If you want to permanantly remove the swirls I would probably go with these steps.

Wash the car, clay it so you get all the contaminants off the car, then I would use a Porter cable with the right cutting pads and go with these steps.

1. Menzerna Power Gloss with a cutting pad/heavy cutting pad
2. Menzerna Intensive Polish light cutting pad/cutting pad
3. Optimum Polish/Adam's Revive Polish polishing pad
4. A good coat of wax Adam's Butter Wax, Optimum Spray Wax, Zaino, P21S whatever you like.

Here are some links that will be helpful to let you judge the degree of swirl marks etc...

http://paintcare-n-detailing.com/ssr.html

Here is the link for the correct ways to use a porter cable:

http://paintcare-n-detailing.com/pc_video.html

Thanks to blkyukon on Detailcity.org.