This is the way I have polished parts up to now. (I got some advice from forum members when I did my Dawes Galaxy build.)
If I have any bad scratches, I take them out with a small fine tooth file first, or emery paper if they are not too bad.
Then I use wet-r-dry paper, starting around 600 grit, moving down through the grades to 1200. I alternate the direction of use by 90 degrees each grade, then I can see the marks from the previous grade disappearing. (Hope this bit makes sense.)
Then I finally polish with Autosol, or Peek metal polish, maybe twice. I started to do this by hand but I soon fitted a 150mm polishing wheel to my bench grinder to speed up the process.
This is my method, I am sure others may have different ideas.
I have found that some parts won't polish as easily as others, something to do with the alloy, and you can't polish anodised parts.
Bruce