Some stores have their birds in their own room, which helps keep the mess contained and the birds and customers protected, in a sense. (petbusiness.com)
It even has a suction cup on the bottom so it stands up and keeps the mess contained until you can clean it. (thespruce.com)
We have this pail liner in «to the point» it looks great in the nursery and has thus far kept all messes contained. (diaperjunction.com)