I use a Random Orbital (Porter Cable 7") with Lake Country foam pads, and the results are stunning ... when my truck starts to look dull I use Paint Cleaner, Compound, Polish, & Wax and 4 foam pads (orange, pink, black, blue). When it's done, I've had people ask if I'd had it repainted, or if I bought a new truck.
I couldn't say whether a cyclo polisher would be any faster or the results better, but I'm pretty happy with how the random orbital works and definitely the foam pads allowed for a consistent result going around the bends and curves in the metalwork. (I'd tried one of the big random orbital units they sell at places like WalMart - won it at a car show, tried it once put it back in the box ... now that I remember I have it, I'll dig it out and donate it somewhere).
Something to keep in mind is ergonomics (e.g. handholds and weight), you'll be hanging onto the machine for quite some time while doing the work, if it's going to be really uncomfortable to use, then even if you bear through it and finish the job once, you may not want to ever pick it up again.
Another option would be to start a Karate dojo and have your students learn patience and develop muscle coordination by waxing your vehicles