I used a heat gun on low to heat up the moldings, pulled them off and sprayed adhesive remover on what was left. The eraser wheel took all of 45 minutes to get rid of the leftover adhesive. Then take some polishing compound to clean up the paint where it has gotten dirty or faded.
By the way "best" is kinda relative. Fastest is the eraser wheel, but it's also possible to do with WD40/Ether and your thumb. It's all in what you want to do. Good luck!