You need to start coarse enough to remove stock, about 60 grit flap wheel, then progress finer. I use 120 grit next, then go to coarse Scotchbrite type wheels, the medium & fine. After that You can go to a sisal buffing wheel and coarse black compound followed bu a close sewn muslin wheel and finer white compound. If this isn't bright enough use a loose sewn wheel and whatever finer compound You have.
The big point is to remove ALL of the scratches from the last [coarser] grade of abrasive before You go to the next [finer] one.
If You are doing flat work, You need to start with a woodworking style belt sander to get everything flat, and then be extremely carefull with the scotchbrite wheels so You don't make "waves" in the surface. If You can get scotchbrite belts, use them. Then procede as above, but use a felt disc on an angle grinder in place of the sisal & muslin wheels. Flat work is a *****, because when You approach the look of a mirror, it will look like hell if it isn't extremely flat.
Walter makes a great line of products for this, but they are not cheap. You would be best looking at the catalog.
http://www.welderssupply.com/product_information.asp?product_id=5298http://www.walter.com/Walter/en-us/abrasives/finishing/variable-speed-grinder-steel-stainless-aluminum/felt-cup-disc