Valet centres and panel shops would mostly use high speed rotary polishing machines. They offer excellent correction ability, allowing the user to remove deeper scratches on paint. Furthermore, they are effecient compared to other polishing machines in that they remove defects a lot quicker.
There is downside to rotary polishing. A rotary polisher in the hands of a novice user could result in paint burn through (when you create so much heat that you compromise the clear coat and burn through it) and some users leave horrid holgrams on paint which impare the general look of your car.
Lets start here, what are you trying to achieve? If you are concerned about faded paint and trim, then you can use hand applied products which will remove the oxidation and bring life and vibrancy back to your car paint. If you want to remove swirl marks (cobwebb effect on paint) and minor scratches (if you run your finger nail against the scratch and it catches, then you wont be able to remove the scratch with a polisher alone) then I would recommend a dual action ("DA") polisher.
Unlike a rotary polisher which rotates in one direction, a DA machine oscilates. This action is great for enthusiasts that have not been trained on machine polishing. They are fool proof, the chances of burning through paint or creating holograms are limited. There are a few DA polishers in the market however, the Meguiar's G220 polisher is the most widely used. I believe Meguiar's and its distributors are selling this machine at a discount at the moment, down from R3,000 to R2,100 at one of the online stores.
Becarefull of cheaper machines retailing at less than R1,000. These are mostly orbital machines which don't have sufficient power to remove paint defects.
To start off, try to achieve the desired results by hand. Failing that, you can look at buying a polishing machine. Remember to apply a coat of wax when you are done. This will prolong your results and delay the fading your experienced.