Using a bench grinder with the buffing wheels attached, white polishing rouge and red jewelers rouge is the easiest and best way to polish stainless steel trim. However, I have used #0000 steel wool with Flitz polish or Semichrome polish to had polish stainless with good results. After the #0000 steel wool with the polish, finish it with just the polish and a soft cotton cloth. To get the fine scratches out of the stainless without a buffer, use 1500 grit, then 2000 grit and the 3000 grit 3M wet dry sand paper...then the #0000 steel wool and Flitz or Semichrome metal polish.
Tim
I agree with Tim x2. You want a buffer that doesn't turn as fast as the harbor freight ones to buff stainless to a high gloss with no scratches. Use a new buffing pad and white rouge for final buff. Mine runs at 1725 rpm, and I think that"s just a tad fast. But I have wonderful results with trim. I could never get the marks out with sanding.