I have two cats, one black, and one black with white shirtfront and paws - and for two fairly small cats, they don't half shed a lot of fur!!
I've just swept the front room, and have got enough fluffy cat fur to knit myself a new kitten, and our lovely cotton duvet covers are always furry and grey rather than sage green or cream - and not because I don't wash them often enough either!!
So, would it be unreasonable of me to laminate the cats - or varnish them perhaps - so that their fur stays on them???