With the crate, I am able to push the poop out of the sides, my broody poops toward the side of the nest she is sitting on. They can be quite large because she is sitting so much but as soon as the chicks start hatching, I don’t remove any poop. After a few days, she is ready to lead the chicks away and then I dispose of the eggs that won’t hatch.
The crate I use has her nest on one side and and standing space on the other side with more food and water added over there when the chicks start wondering but mom is still sitting. That way the chicks have food and water too while they are playing and mom is working.
Not sure what others do, this just seemed to work for my broody and I.