I have just done this myself this weekend with a DAS-6 DA polisher, i also went the route of a DA as ive never machine polished before and read the horror stories of a rotary in the hands of someone inexperienced although i think you would have to be a bit careless to cause damage. Also a DA is less likely to cause holograms.
I used meguiars ultimate compound, then meguiars ultimate polish followed by meguiars ultimate liquid wax, its cheaper to buy all 3 as a kit rather than individually and are available in halfords for about £50 for all three.
I used the ultimate compound with a lake country orange pad, i also tried applying the ultimate polish with a white pad with varying success so decided to apply by hand as it was drying to quick and is a nightmare to remove when dry.
Obviously before polishing etc i washed, snow foamed, clay barred, tar removal, and used iron out to get it as clean as possible. All this does seem over the top but preparation before polishing is important and i think the results speak for themselves.
Also my paint was in a bit of a state i dont think the pictures show how bad it actually was. I wouldent be suprised if this was the first time it has ever been polished since it was made in 2005.