We have REALLY long haired cats to the point that chasing fur and fur bunnies is a full time occupation. I have made pillowcases for pet beds (and considering there are two cats with beds in my sewing room, our bedroom, DH's office, the kitchen, the great room, and the library), that makes quite a few pillowcases that need attention. But the pillowcase solution means that I do not have to replace or remake the basic beds. I only have to do one more load of wash a week. And yes, cats can dismantle, claw, chew, etc. a pet bed just like a dog.
I am always on the lookout for a better way to handle the fur project. Having them shaved doesn't seem to work - they get cold and demand being under covers. They take off their pet sweaters. Wish I knew how to attach a picture to show you the two fur balls.
Pat