It wasn't until this thread a few months ago that I realized the "chrome" trim on my door handles was aftermarket. I always thought it was weird that the only shiny trim that Jeep would put on the vehicle is the door handles. Anyway, finally got some time to remove it. Just a couple tips for anyone else attempting this:
Heat gun/hair dryer
Tar/GooGone/whatever auto safe sticky remover
plastic trim remover/scrapper (I used this: http://www.harborfreight.com/5-piece...set-67021.html
At least for the door handle pieces, all the adhesive is on one strip on the front of the cover. So just put a pry bar on the edge of the trim piece and start applying heat with gentle pressure on the plastic pry tool (see attached picture). As the trim gets enough heat it will start to deform and you can press the tool along as you move the heat gun down.
Once off, scrap/rub whatever you can without putting too much effort into it. Then douse the foam adhesive with your Bug and Tar remover (that's what I used as it was safe for auto paint). Let it sit for a few minutes and scrap off what comes off easily. I had to rinse and repeat about 3 times to get it all off each side, but while one was soaking, I was pulling off another. A little elbow grease, but not too bad with the tar remover....made it much less painful than without it.