I have recently only used Meguiars pads, so someone who uses the lake county or edge 2000 pads could help you out there.
Secondly, you should purchase a grit guard and quite possibly a foam gun. Although not necessary, it makes washing a thousand times easier. Since I'm trying to familiarize myself with the products at AG, I can recommend Meguiars product #83, #80, or #9. The products purchased from AG that I'm going to try are the swirl remover products from the XTM product line, Swirl Remover #1, #2, and #3. #3 being for the deeper swirls/scratches. And the CleerKote compound and cutting products could take away your problems.
Then you should put down a quality polish, many apply here, if you would like a recommomendation, just ask

Follow that up with a two coats of a quality wax. Meguiars, CleerKote, Pinnacle and WG all apply here.
Could you include some pics of the swirls? You will need a backing plate for whatever pads you choose. For removing defects, you will want to run the machine on speed 5, or around 5000opms. Cover a small panel, nothing bigger than maybe 12x12; work the product into the paint, using slow passes and applying 15lbs of pressure to the head of the PC. It may require more than one pass to achieve your desired goals.
Hope this helps some...
-Nick