Hi and welcome to BYC! 

Follow along with the video below to see how to install our site as a web app on your home screen.
Note: This feature may not be available in some browsers.
Have you thought about just sectioning off part of your garage for the cats? That's how my neighbor introduces new barn cats, and they are all but feral. He puts up a barrier in his garage near a window and leaves them in there for (I think) 2 weeks, maybe longer. They don't require much.
Another idea is to look for a used dog kennel. That's what I have for my chicken run. I saw one the other day for $200!!! I paid $600 for mine years ago. You could use it for the cats until they are accustomed to their new home and then transition it to use for chickens. You just have to add hardware cloth around the bottom of the kennel for the chickens. You could put that entire coop in the run and modify the coop to hold more chickens.
Just a suggestion. But think outside the box! Many people don't lock their chickens up 24/7. There will be a risk of predation, but you can mitigate that risk by being mindful of their habitat.
My flock (17 chickens and 5 ducks) have a shed I converted into a coop, a covered run, plus a foraging yard surrounded by electric netting and covered with aviary netting. Other people use hoop coops (my next project - easy, inexpensive, and effective) or custom built from scratch. There are a gazillion ways to do it!
It sounds like these cats are basically feral. Are they spayed/neutered? If not, they should be asap.
In all honesty, I would take the one that let's you pick them up and let the 3 others stay where they are. If they are that agressive now, they will fight and tear each other (and you) apart if you try to confine them.
Instead of trying to let them out a couple of times a day, set up your coop in a larger run. Look for something like this:
View attachment 3231059
https://www.lowes.com/pd/Lucky-Dog-...g-Box-Kit-Pet-Kennel/1002397070?user=shopping
You can sometimes find them used. My sister got one "free for pickup." You'll need to put a top on it to keep cats in and predators out. Poultry netting works for chickens, but you'll need something a bit sturdier (and fully anchored on) for cats. And ... if you get chicks when you move, they can stay in a brooder box while the cats acclimate. By the time the chicks are ready to move out from under the heat source, your kitties will be ready to roam!
You're really wise to ask all these questions up-front. Most of us learned the hard way! You can easily keep four in your coop if you leave it open to the run all day. It's kinda like using a hotel room as your base-of-operations for a vacation ... it's just for sleeping!Thanks to everyone who has been replying, this is a really welcoming community! Totally awesome!
It seems most of you agree 2-4 is the max I can do with what I have, which is fine because 3 is probably the most I would want to start with.
I am curious how much manure and smell I am going to be looking at for a flock of 3? Some blogs have kind of scared me a little bit by making it sound like having a flock involves a huge amount of smell, flies and shoveling manure.
Also, how involved is winter care, do the birds eat and poop less in the winter? I ask because I think I would enjoy taking care of the flock 80% of the year, but in Jan and Feb, I dont think I would enjoy having to shovel manure in the freezing windy cold conditions daily. Also, do the hens need heat in the winter?
Thanks!