It's hard to do without hurting it. The big fender pieces are supposed to be held on with nuts inside the fender, fender removal may be necessary to get at one of the nuts. At some point, my fender moulding clips had been replaced with the springy snap-in type of clips used elsewhere on the body.
The door trim is held on with screws at the front, nuts in the rear, and double-sided tape patches along the way in the middle.
The rest of the trim is held on mostly with the double-sided tape patches, with either a screw at the end, or the snap-in clips.
The snap in clips can be very hard to remove without bending the trim. The double sided tape patches can be cut off with a razor blade.
Honestly, if there's no bodywork getting done and it's only paint work, just take your time and mask the trim off really well. Be sure to sand the old paint right up to the edge of the trim. Correctly removing the trim can be tricky, and installing it can be a PITA too.