Just a word of caution from a lesson learnt the hard way at my expense. Please always use a dust mask when working with straw both dry n damp, I contracted Farmers Lung disease from mold spores in damp hay n straw that had re dried and ended up loosing a lung from it as its now completely full of scar tissue and no longer functions properly.
These spores are easily air borne when both wet and dry. Your birds n animals also breath them in so you only want clean dry hay n straw around them as it can cause similar problems in them.
Try Bark mulch, Gravel n sand mix or rubber mats instead. I use the gravel n sand mix as well as some old rubber cattle mats that I got free 2nd hand in my pens n that works well and keeps them dry n pretty much mud free.