O, boy!! (steepled &/or rubbing hands under chin while grinning & "cackling")... A "newbie"...
Op - what state & what weather patterns do you have? How many chickens? How big & what type of a coop do you have? Is it directly on ground or does it have a floor? How big is your run and do you have a base that would allow you to do the composting in the run?
You can set up a "bin" of many different types right in your chicken run. It can be completely covered or left open at the top. You can make it roughly the size that many say it should be or it could even be smaller (wouldn't necessarily go with larger...). If your run is big enough there is no reason why you can't compost right in the run. If the chickens spread it out to much (you want them to, it turns and breaks down your pile), you can use a pitchfork and restack it if you like or it can be left to incorporate into your run litter. You can compost in a card board box - as the compost itself breaks down, so will the box - joining your compost. Until then, it contains the stuff w/i - allowing your chickens access depending on how tall or weather it's closed.
In the coop/runs that I have (the coop section is part of the run - open to the ground - hooped coop/pens), i have composted anything the chickens will eat. I also use shredded cardboard/bills/junk mail/paper/news paper (remove all plastic windows & cards - credit/debit type), hay, straw, weeds, garden trimmings, grass clippings and wood mulch. I have put out stuff that has spoiled, however, i put it in the outdoors part of the pens & bury it a bit. If the chickens dig it up and go through it fine, but I don't leave it in the open. I also will drip out meat fat - from bacon, hamburger, brats, roasts etc - before it turns rancid. Again, if the chickens eat it, fine, if not, THEY turn it into the run litter - less work for you and doesn't go to our landfills. Same with milk, yogurt, cheese. If bad, bury it a bit. You can dig a trench in your run if you like - I haven't done that. However, I'm not in a neighborhood nor do our permanent chicken areas sit right up close to our home. We are more likely to get the hog stench from a commercial hog farm several miles away, then our own compost/chicken scents.
RE: shredded paper - RIGHT NOW, if you are concerned due to Cvirus protocols, wear gloves and some type of mask to collect/shred products. Remove gloves or wash gloved hands using Cvirus protocols BEFORE doing anything else. Feed & gardening stores have gloves that can be washed (not a cloth or knitted type) - that for gosh sakes are not on back order as medical types are. If you use a home made mask (sewn, made from socks, made from bandana, etc) - line it next to your face w/ a coffee filter. Shown to be very effective and also not on back order right now (*until the general public realizes what they can do & starts hoarding those*). After shredding, wash down the top/sides/front/back of your shredder with some type of acceptable cleaner proven to neutralize Corona virus(s). At home i use a vinegar or bleach solution and at work we use Kennesol (same as what we disinfect our dog/cat kennels with). Then move your shred out to where you want to use it. No big deal. Just use common sense and proper protocols. If collecting cardboard/newspaper - spray it down with lysol & use your gloves. It does work. I do it. No one in our 6 family home is ill. 2 of us still work outside the home, 2 work from home. 1 main person does our shopping at certain times of day... The two grand daughters are following online schooling from their elementary schools. They haven't been off our property since the schools shut down.
The main thing w/ a DLM is different sized materials. If you use only one type of material, you will end up with a mess that stinks, is slimy &/or packs down into a hard/compacted, not usable matt and will attract flies. You do want to see ground bugs in your run - more protein to feed your chickens. If you do use a DLM in your coop, it does need to have a certain moisture level to be composting in place. If it's got a floor, you will need to introduce organisms (biome?) from outdoors to get it to work. If it's dusty, you just spray it down a bit. Yep, throwing the veggie scraps or scratch under a roost (not on poop boards) works wonders for your chickens to turn the nightly deposits. I'm not up in freezing country, so I don't know how well this might work in Canada, the upper mid-west or Alaska. My Iowan grand parents did this on their farm and didn't have frozen piles of chicken waste, so....
We have had dead chickens, ducks, feral/outdoor cats & rabbits over the last few years - since moving to this new place and getting more critters. We do have a compost pile set up in wood/wire bins that wild animals/our dogs can't tear apart - we have composted spoiled meat that didn't get used/consumed, put the bodies mentioned above in it, humanure/bath tissue/baby wipes, dog feces/toweling used to clean up small dog pee spots, cat litter, chicken parts not given to dogs/cats/back to chickens, grease, etc. Every time something is added that is thrown out, a layer of straw or leaves or shredded paper is added over the top. You should not smell any of what is thrown into the pile once it is covered. If you smell it, you need to cover it better. Our 2 granddaughters haven't mastered this yet, so an adult has to help... Our first pile is just now finally "full" (about 3' deep and 4' to a side) covered and not being added to now - we have added to it since 2015 - in all actuality - it has several times gotten hot enough to compost down and stuff at the bottom is probably usable now. It will sit for the next year. Next month, I will introduce red wrigglers to it. I expect to have it turn into nice compost. Next summer, I will check it out - run it through a sieve - plastic bits (feminine pads/doggie piddle pads) will be put into the regular trash & bones, large plant pieces etc will be added to the current new pile and covered again. IF I choose to use it next year, it will go around our fruit trees (we have 9 so far!! just ordered 12 more!!), roses (2 in front yard), azalea (lining the front of the house) for fertilizer - not into beds used for underground tubers, asparagus, lettuces or strawberries. I have done this in the past and it works well.
Edited to add - I read the blog post by humblehills farm. Thoroughly enjoyed it. Her form of deep bedding (one component kept dry except for chicken waste - looks like it was in an indoor coop w/ a floor, not on the ground) is completely different to our form of deep litter method (different size/different materials on the ground in our coops/runs/pens - still occasionally gets too dry so we wet it or too wet so we add more drying type materials). Personally we are doing two completely different methods.
Straw doesn't compost by itself (in fact, most single things won't unless left in nature and it is broken down by weather, insects, mixing with other products of different sizes, TIME etc). It is hollow so will/can harbor pests, molds, disease and like she states, certainly isn't real warm UNLESS banked and packed down or left in bales. Most beddings - even shredded paper (especially so, actually), will become dusty. Just the birds kept on paper towels are dusty critters - add in any bedding of any type and as they shred it and it breaks down, it ALL becomes dusty and can be nasty. Airborne chicken dander is nasty.
Pine flakes, shavings and dust also do not compost very fast or easily - by itself or even in a compost pile - and will become dusty as it does break down.
Some bags of PDZ are so dusty, they require a mask to put down. I've worked in stables/barns and it can get bad, too. It used to be printed on the bags, when it first came out, that it should be applied in large situations with a mask & protective clothing. The current, smaller bags don't say that. I have some, I've used it.
I couldn't do the poop board method of clean up - would drive me insane! But I love my composting/compostable DLM!
AND yes, when a hurricane system dumps 11" of rain on you all at once, especially when you've already had 2 months of regular, heavy rain neither the ground around the chicken runs nor the chicken run DLM will soak up all the water. There is no where for that water to go until the ground and mama nature naturally take it up. You put more materials down (if you have them) or you put down pallets for your chickens to walk/stand on in the run until everything starts working properly again. Because we are on a lot of sand - it didn't take long and it all started working again! Just the bare sand here in our area of NC stinks when it gets wet. Our dogs STINK after they go out in the rain and roll in the sand that is not yet a nice soil...
Edited again - here are some pictures of what we have used and our DLM
DLM
this is a chicken album - it shows shredded paper in our brooders, leaves in nest boxes etc -
Chicken & Ducks
OK, think my silly brain is done adding now...