There are many products at your hardware store that remove tape and sticker adhesive. The trick is finding the one that is the mildest that will do the job without damaging your finish. There are so many brands that I can't even keep them all straight. Goo-Gone, Oops!, Orange-Plus adhesive remover, etc. etc. I would start with a non-solvent citrus based one first. I would test it on a part that doesn't show, like the back on on the inside of a drawer face. Leave it on for a little bit, then rub off, then wait a bit to make sure it doesn't hurt the finish.