I personally use a Flex 3401 polisher, w/ Lake Country pads. Rupes branded DA (Dual Action) polishers seem to be the popular go to these days although I've never used one yet. As long as you get a Random Orbit Polisher, NOT a rotary, you'd have to try really hard to 'burn' your paint.
The compounds I use range from Menzerna SF4000 for heavier correction down to Meguiar's Ultimate compound for light swirls.
Couple the machine polish w/ a foam cannon, clay bar, correction, and some DIY C.Quartz ceramic coating...
