I would switch the cedar shavings to the pine or to sand, cedar is incredibly bad for the respiratory systems of birds. It's passable out in open air, like the run, but in a closed off space like a brooder it can become a problem for them.
Play sand though, reduces the waste a lot. All that comes out is the poo, in a manageable amount. With shavings of any kind, they take awhile to break down and really build up the pile fast. I use sand only for brooding now, it's so much easier. I still use shavings out in the run since the birds are real good about keeping it stirred up. In the coop is sand, cleaning takes all of 5 minutes with a cat litter scoop once a day. You have to use a reptile scoop for babies, their poops are too little for the cat scoop.
I have a compost pile for the poop from the coops/brooders and kitchen waste, leaves, grass clippings, etc. I don't clean the run, I let it compost right there. Adding more poo to that though, I could see the break down not being as effective and it could build up with too much added. You need the heat that a pile produces to break things down faster. Spread out in a run, it won't generate that heat unless you also mix in a good amount of green stuff.
