How did you snap those clips (the ones that kinda look like an omega shape) on to the upholstery material? They are much too small to snap in with fingers and pliers will ruin the material.
The pliers should contact the metal frame behind the fabric and the clip. I haven't done that job yet, but am thinking about getting a cheap pair of pliers without sharp teeth and modifying them to hold the clip (maybe a semi-circular groove). Or maybe a pad on one side of the pliers so the material isn't damaged.