We also had a white cat (see my avatar) whose hair managed to weave its way into fabric. SuzzyQ has it right. Shedding and hairballs go hand in hand with purrs and cuddles. One of those sticky rollers helps a bit, but short of shaving the cat, nothing will get rid of all the hair all the time. I often threw one of my sweaters or fleeces onto the bed. Chester would curl up on it instead of the quilt. Guess he liked my smell.