Brett is exactly correct. it is hard to determine what you need done without seeing the vehicle. With that being said all the advice that you have gotten thus far is for polishing only. The machine that I suggested will not cut "burn" into the clear coat no matter how hard you try.
I would take Daniel up on his offer before you make an investment. While you are there take a good look at his White Dieline car. You cannot get that kind of shine on a white car without a mechanical buffer.
To make a car shine under direct sunlight is easy, to make the paint reflect artificial light is an entirely different story.
Take a look at the windshield, I got caught in the rain.