You can either use a pillowcase, or a 41 quart sterlite tub. It probably doesn't even need to be that big if it's just for cleaning time. A 32 quart would be fine too. If yours is anything like mine he'll probably just sit there
I usually just put mine on my couch when I clean and he'll go under a pillow and look out. He also sits around my neck.
You can use vinegar and water to clean the glass.. it doesn't disinfect though.