Oddly enough, it's not my cats' hair that causes the problems here, it's mine.
I have long hair and it wraps around vacuum rollers and brushes and stops them dead.

I've gone through more vacuums than I can count.

Oh, about those Pledge fabric erasers: you can empty them and reuse them if you are careful. Just use an exato knife and cut out the flat slanted side. Pull out the hair and cover the hole with duct tape. I've done it and it works.