Cats and flats

Er, so I don't see anything where I've been looking about people accepting pets in apartments. I'd like a flat that would let me have a cat, specifically my Boo kitty after we've got all the quarantine stuff worked through.

Any suggestions or feedback? "Fuggedaboutit?" I'm looking for some specific information like "90% of places won't allow cats" or "you can usually have a cat with an $X deposit" etc. Or "you'll have better luck on Website X" or "Try Neighborhood S."