Ill scrape it up without digging an even bigger crater than they did in the yard for the bird-on-grass / outside stuff, and compost it What's left Ill fill in the holes they may have dug
For the stuff that's actually IN the coop (which is not much, they always seem to find a way to kick it OUT of the inner chambers) I'll just throw that into a 5 gallon bucket, along with their daily poop pickouts.
When that bucket gets full, I'll place it on TOP of a compost bin that's already active, that way the drippings when it gets hit with a heavy rain drip into the pile below. let it stew a month or so to calm down a bit, then spread it around my blueberries / blackberries and other plants that are big enough that it won't burn them up. If I don't have the bucket tagged for a specific use, I'll just turn it into one of my newer compost piles and let it all cook down.
I also have burlap sacks that I get my coffee in, I get a LOT of those, so I'll cover it up with a sack layer as well. This helps protect from wash away and more importantly, keeps the girls from digging thru it to eat the worms that will eventually show up to feast and help finish the process up. The burlap sacks, compost very well themselves and in 4 to 5 months, it's all ready to plant in.
Aaron