Most of the old time stainless was held on with clips that had screw studs and nuts holding them to the body sheet metal. Best to unbolt whenever possible, and buy new clips. If you damage a piece of stainless, it is repairable and will look like new. There are some pieces that are snap on over the clips, and the only way to get them off is to pry them off. Just go slow and use something that is firm, but not with a sharp edge. Try looking behind the molding by prying it slightly with a piece of flat plastic, like a kitchen spatula. Mark where each clip is and work right next to the clip. A plastic wedge of some sort is the best tool for this. Make sure to mark where each piece goes and take lots of pictures. Many times a piece will be identical on the opposite side, except that it will have drain reliefs cut into it on the bottom. If the piece is made of die cast, then be very careful not to break it. They cannot be repaired. Also look out for hidden clips that require something else to be removed first. This is the type of job that experience is best, and you will only gain this experience by doing it.