Vacuum the couch with the upholstery attachment on your vacuum cleaner. This will remove many of the loose pills from the furniture.
Run a clothing shaver over the couch. Clothing shavers are hand-held battery operated devices that pick up the pills. Move the shaver slowly in a circular fashion over the couch until the pills are gone.
Cut away any remaining pills with scissors. Place the blades of the scissors as close to the surface of the upholstery as possible and snip away the fuzzies. Do this carefully so you don’t inadvertently cut the fabric.
Vacuum the couch again with the upholstery attachment to remove any loosened fuzzies from the couch.