If the car is older you may want to take a hair dryer to them first to soften the double sided tape than use the dental floss. That is the safest way to remove them by far. You don't need a lot of polish if the car is new, just somethig to remove the adhesive left behind. If you use Goo-Gone or something like that make sure you do wax afterwards. I de-badge all my vehicles this way.

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