Finally got a rotary machine polisher (1400w with 6 speed settings and all the attachments).

As soon as the better weather arrives I'd like to tackle light swirl marks on my 2.5 TDi Avant Quattro (dark metallic blue) and my wife's A2 which is Cobalt Blue, which frankly looks like black.

Can anyone recommend a decent polish that will remove swirl marks? I want to take it easy, as using for the first time I'm apprehensive about over-working areas, and don't want an aggresive cutting compound.

History: cars usually get washed once a week (never auto car-wash), and clayed (couple of times a year), and Meguires stage 3 Carnuba wax applied every 3 months. I'm happy with wax for usability and application. Used to use Mer, but it was a nightmare, as is Autoglym. Also tried something with added Teflon, but results didn't last.

Budget wise - products need to come in under £30 or so.