What ever you do go to an auto paint & body supply shop and get an eraser wheel. $10.00 to $14.00. The wheel usually has a threaded arbor so get the adapter that allows for drill attachment.
The pros use fast air tools but are savvy not to burn paint. My electric drill did a great job.
No fuss, no solvent mess and only a few minutes work.

I tried all the solvents and it was like wasting time. I did some nasty bed rail caps double sided tape with relative ease.

I do what ever it takes to get the badge off without scratching paint and let the wheel do the rest.

 

I just debadged and removed the trim on my '05. Invest in a heat gun and a 3m stripe off wheel. I didn't even use fishing line. Got the end of the molding warmed up with the heat gun, grabbed the corner and started peeling away as I worked down the line with the heat gun. Came off pretty easy. Then just use the 3m stripe off wheel to remove the remaining tape followed by a washing and then waxing the area and you're done. I had the whole truck finished in an hour.

 

Yes the chevy side molding is pretty soft rubber. It's when you want to peel the tail gate badges that you will have the finger nail breakage if you do not use tact.

 

Yeah I had already took off the door and tailgate badges. Decided I wanted the two door moldings off too. so yesterday evening with my wife's hair dryer,some 20 lb test fishing line, a MMM stripe eraser wheel, and some MMM adhesive 30 minutes later I'm done!!! Looks great!!!