My sewing room is off limits to the cats..and the dog is an outside only dog. Thank goodness as he is a golden retriever, and leaves hair clumps in the yard...I hate to think what he would leave in the house!!!!!
However, since you are in need of a solution.....my gf has a very hairy cat that leaves hair everywhere. She has found that either the pet hair rollers, or the 2" wide packing tape works best on clothing. I would think either would work as well on a quilt. Keep us updated on what you find to work best.
Patti