Chromed plastic logos

Everyone has a different way to do this ranging from finger nails to screwdrivers and knives. I personally don't want to damage myself or the car bodywork so here is the easy and safe way to do it.

Heat the badge with either a hair dryer or hot water. Get a length of fishing line and tie a loop in each end, wear some gloves as the loops can slip as you pull them.
(do not use very hot or boiling water as it could damage the panels).Put the line under the badge and pull it through the foam pad, the badge will lift off.

Pull any loose sticky pad off and wipe the area in WD40, this breaks down the adhesive in the pad allowing it to be wiped away.Once the pad and glue have been wiped away clean the area with car shampoo as dirt can build up between the badge.Once its clean give the are a layer of polish and buff to a shine.

Nice and smooth, much better.

Vinyl badges and logos

Again, the area needs to be heated to soften the adhesive. Use a hairdryer or hot water. With the area heated, pick the logo carefully off with a fingernail or credit card.With all the vinyl off, wipe the panel with WD40 to clear any residue then clean and polish.