If you want something that is quick, cheap and effective use latex gloves! Yes, I mean the ones that doctors use! Seems odd, but put on the rubber gloves and simply rub the fabric, the combination of static and grippy surface from the glove will pull the hair from the fabric and form a roll of hair in the direction that you pull it! So to break it down...
1) Get rubber gloves.
2) Put on rubber gloves.
3) Glare at cat/dog while walking past it for making you do this.
4) Rub the fabric with your glove.
5) Voila!
Hope this helps!