Our smallest spare bedroom is slowly turning into a cat room, after it became The Gurlies bedroom when they first came home with us. It now has cat trees, toys and beds, and is available to them whenever they want to use it. (Having said that, so is every room in the house. Our living room is gradually also becoming filled with far more stuff for the cats than it is for us.
)
It occurred to me that if ever we move, we're going to have to do some serious work to make the house presentable for ordinary viewings.
I would say if you choose your new arrival with care, thinking about the personalities and temperaments of your existing family, then it stands a good chance of success.