When I got my house in 1999, there was already a separate room with a closing door in the basement that I decided would be my cat-free modeling zone. No cat hair or litter box dust or anything would get in there.
The very first time that I left the door to that room open, I walked in to find my cat Mojo sleeping INSIDE my spray booth. So much for grandiose plans...
I do have a recommendation... since you can't trust a cat to leave stuff alone, find a way to cover it. That way when you walk away from a project for a while, or let the paint/glue dry it'll be safe. It'll do two things; it'll keep the cat hair away from it for the most part, and it'll keep curious paws off small pieces that may otherwise become toys.
One other thing.. before painting, always wipe down your model with a lint-free cloth of some sort. If you don't, cat hair and dander can get in there and mess with it.
One more bit of advice.. the BEST cat toy ever invented is the laser pointer. Get one and make your kitties crazy. Avoid their eyes of course.
Have fun with the kitties...
---- Stephen