If you have a DA or a buffer i would use that with a mild pad and some sratch remover. The Sratch remover is mildly agreesive and will break down you clear coat getting to the swirl mark. A light polish will also work well. The swirls sit under the clear coat. If you want to clean it right i would get it washed, clay bar it, polish with a light polish, wax and you shouldnt have any swirl marks if you do this right. If you go into the Tech. section on here, a member is a perfesional detailer and he will answer all you questions.
I will post some pics of my tahoe. i just finished it last night. i did everything but without the clay and the DA.