<<but during the day would allow them to the outdoor area to roam around.>>
<<and the area they'll be at during the day will be adjacent to the shed (meaning I need to design a coop that allows them to turn the corner to their outside area). >>
Would the outside area be off the concrete pad and outside of the coop -- free range?
I've given ideas and suggestions to several people on how to build their first coop. One thing I ALWAYS recommend is DO NOT USE WOOD if you want your coop to last for many years with minimal maintenance -- and minimal pest problems. Wood absorbs moisture, odors, promotes mildew, mold, mites (not necessarily bird mites) that don't live on birds but thrive on wood and often crawl up your shoes/pant leg. Also, wood is very difficult to clean. Those who used wood have come back and told me later that they will rebuild with pvc.
If you search the internet for coops, you'll see many beautiful wooden designs -- many of which look like houses for humans!! If you notice, most of the photos are of their wooden coops when it is brand new....with no chicken poop on the wood. I think there is a reason many people don't show detailed interior photos of their wooden coop after 5 years of use. If you haven't raised chickens before, something you need to know is chickens poop all day long!! (exaggerating)
All the people I know who built their own coops have told me the wish they would have made a different design, so
my advice is to not spend too much time and money on your first coop because you'll want to make changes after a couple of months. I made a coop out of a used 8X8 pop up tent I found on craigslist for cheap (the tarp was damaged, but I didn't use the tarp). I anchored down the 4 corners with stakes, then wrapped the entire thing with 1"X1" vinyl mesh, and on one side I used welded wire -- so I could install a door on that side. I like the pop-up tent idea so much that I build a 2nd one. The second one has a little "tunnel" that connects to a separate room (the brooder). It is difficult to give you ideas of how to design your coop because I am not sure of your layout of the concrete pad and the "outside" area. Anyway, here is a video of my pop-up frame coop with the tunnel to a separate room, and a connection to another 8X8 pop-up frame coop. Maybe you could make a tunnel to the adjacent area outside?? Mine has a door at the tunnel, to keep them on lock down if needed. During your first 2 or 3 months of having your first coop, take notes of how you'd like your next coop to be. Try not to cut the screen when building your first coop so you can reuse it for your second, and permanent coop.
Good luck. I'm sure you will get lots of good advice and ideas from others at backyardchickens.com.