I use a rotary with a wool pad and compound. The wool runs cooler than foam on plastic parts (bumpers, rocker panels, etc). I keep the rpm at 1,000 - 1,200 and use a variety of compounds to achieve the results I need. If the front bumper is peppered with stone chips, I'll wetsand with 3M Trizact 3000 first.
Above all, take your time and don't stay in 1 area too long. You can touch the plastic with your wrist to see if the area is heating up and move to another area while it cools.
Toto