Simple. Get a good dual orbital buffer and a collection of foam pads. Meguires is the one I use but there are plenty of options. The important factor is to select a dual orbital buffer. Foam pads go from aggressive cleaning to much softer polishing pads. The color of the pad tells you if it's for aggressive cleaning or polishing and everything in-between. I am able to remove heavy oxidation using Meguires fine cut and medium cut cleaners. You can make the paint look as good as is possible (depending on paint condition) without breaking a sweat. Of course you should finish with a high quality wax or polish. I can make my cars so shiny you would think you were looking at a mirror.
I dare you try and beat Maguiers Diamond Cut 2.0 for everything from cutting the oxidized layer and continuing all the way to the final buff stage. The compound changes grit from rather aggressive to ultra fine very quickly and you only change pads for a clean final polish with the same stuff. Works amazing and you can even cut orange peel with it too. As Harley mentiones above, use the correct foam pads, cutting pad and then polishing pad, for the task at hand. Caution required on edges and very thin paints though.. this WILL burn through if not careful.
Wont be hard as theirs heavier cutting polishes then dimond cut 2 some thatll finish better Menzura f400 comes to mind Scholls s3 is another 3D HD Adapt wont have that much cut but its the best all around polish ive used so far on various level course foam pads with its AAT Heres a comparison chart of polish/compound agressiveness Some polishes are SMAT, some are DAT some are both and some 3D HD is AAT http://www.autopia.org/forums/paint...d-5-2015-autopia-polish-comparison-chart.html
If your polish has DAT ..Deminishing Abraisve Technology, make sure youre completly break them down ..polish will be clear , otherwise you can scour/haze the panel If its SMAT you can do as little or many passes needed to achiece your results 3D AAT same thing as SMAT, just make sure not to use fast movement and youll be well
http://www.autogeekonline.net/forum...w-car-finish-antique-single-stage-paints.html I swear by this process. Worked wonders on my tired and flattened factory red paint.