I always had one cat at home, a small flat actually. I develop films in the bathroom (because I can close the door, make it absolutely dark and have running water there) and at the end after the last rinse I juse shower to spray hot water in the tub so the air in the place is more humid. Very humid air is the best way of eliminating the fur & dust problems at all, of course at the expense of 2-3x times slower drying. Another option is to shower myself before developing - and it's a lot more economical also
Just hang the film above the tub, get out of bathroom and close the door.