If you can afford a vacuum, which is especially designed for animal fur then buy that it will make your life mush easy and you can conveniently remove the fur from a huge area. You will find different attachments with the vacuum, which will help sucking fur in all possible manners.
If the fur is attached to a small area and you do not wish to wash the clothes then duck tap can be a terrific solution to your problem. Wrap the duck tap around your hand make sure the sticky part is towards the outside and pat the taped hand over the cloth. When the tape is filled with hair change it and repeat the procedure until the fur is removed.