Peel 'em slowly, then use a credit card and your fingernails (I finally found a good use for all those old maxed out credit cards) to remove the gooy tape. Than I used paint thinner, then I washed, clay barred, polished, and waxed the entire car. I took off all those badges while I was at it. Drivers door was the problem for me. I had the clearcoat problem. I suggest you start with that one and if it looks that bad put it back on. My cars navy blue so its easier to notice, But no one did until I pointed it out.
