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I used a hair dryer to warm up the molding, and 15# or 20# monofilament fishing line to 'saw' thru the double-sided tape holding it on. Keep slight outward pressure on the fishing line to keep it away from the paint. This can take a little time and effort. Wear gloves, because the fishing line can be hard on your hands. As I gradually ate thru the glue, I stuffed a small rag between the molding and paint, moving it as I went along, to keep the freed area of the molding off the paint.
When you're done you have a big stripe of glue left on the paint. I rolled it off with my thumb and then cleaned it up with WD40 ... which was hard on the thumbs and kind of slow. Others have used Goo Gone or other adhesive solvent to remove the glue.
DON'T use a heat gun on the molding .. they get too hot. If you want to preserve the moldings, don't use too much outward pressure on the fishing line, because it will cut into the edge of the molding.
I removed mine without any damage to the moldings or the car .. you can't tell they were ever on there ... If your paint is older, or has been in the sun a lot, you may be able to see a ghost when you remove the moldings.