To get swirls out you need a good polish with a random orbital buffer and the correct pads. Here is one of the best out there for getting rid of swirls:
Menzerna Super Intensive Polish SI1500 PO83Q (32 oz) Menzerna Super Finish Nano Polish PO106FA (16oz) Heres a good machine:
Porter Cable 7424XP Car Buffer / Polisher
Look at autogeek website for good detailing information as well as the best products to use. There are many on-line retailers who can provide you with the equipment needed to get that shine and keep it. I have a Porter Cable with 4 different pads I use to get it right. After that it's just a matter of maintaining the shine. On my Beepster I took it to a pro shop to get it right and now I maintain it. I do a few cars at my friends Indy shop to get them looking better and it takes time with the right equipment.