I would put another vote in the plus column for the PC 7424 polisher. If you are new to detailing, it's hard to beat for a foolproof polisher that will still get the job done. I still use mine for applying waxes and sealers and for those times when a little "finesse" is needed for stubborn paint.
Once you become more skilled, the rotaries are great to get a job done in less time and, with some of the newer polishes, the rotaries are the only way to get enough heat to break them down and get a swirl free finish.
Once you step up the rotary polisher I like the two I settled on, a Dewalt 849 and a Makita 9227C. As mentioned above there are a ton of choices including the forced rotary/orbital machines like the Flex and the Makita 6040 but if you poll most pro detailing shops, you will find the 849 and the 9227 in the bulk of them.
The Dewalt 849 is built like a tank, is the heaviest machine I have but the weight helps control it with the pads that I use on that machine (3M wool pads for heavy correction). It has a thumbwheel for speed adjustment (wish the PC’s was located in a better spot) for easy speed variation on the fly, easy to replace brushes and will last forever.
The Makita 9227C is lighter, has a soft start that I like and mine is setup for foam pads that I use more than the other two combined. It's quiet, relatively vibration free, has the "soft start" that gradually gets the machine up to the RPM range and also has the thumbwheel speed adjustment.
Buy quality machines and they will always have a place in your detailing kit. Start with a PC or equal to learn and then step up in power as you feel comfortable.