Yay, something I know about! I was an industrial mold polisher for a couple years and yes there are different techniques for different steels we mostly worked with steel, stainless, aluminum and beryllium. There are also a million different polishing finishes between levels of mirror, brushed, draw pattern ect. Steel and stainless have different qualities and hardness has a lot to do with it as well stainless is a pain because its harder. Although the tools I used are unobtainable for the common person and wish i had them all but it would be thousands of dollars between your profiler, stones, motor, diamond compounds, buffs, and hand pieces a profiler is like 900 or more for refrence. I know how to do it by hand from experiments with easy to find material and this is my advice. Start with sandpapers depending how smooth it is say 600 would be good to start, cut in tiny rectangles 2-3 cm folded over lube with wd40 and clean only with acetone and clean tissues. Sand diagonal lines and criss cross "x"pattern for each area go one way untill you can only see your lines from the sand paper then go opposite over those lines untill you cannot see your previous lines and so on, do that with 600, 800 1000, 1200 if you want, you will start to see it reall shine just with the sandpaper. Then find yourself a little polishing kit with or the one from your dremmel can work. Get the polishing compounds from lowes i have the dark red cleaning compound and the green high gloss and flitz. Use red to get your sanding marks out, then green with a hard buff (will feel like felt) then a soft cotton (similar to cotton balls) with the flitz. Its all a big experiment, main things to onow it just getting your previous lines out with the next grit up, don't cross contaminate your papers or buffs and clean thoroughly with acetone clean tissues wipe once throw it away per tissue. Hope this helps!
