I'm about to embark on some polishing. I agree that a bit of bluing or colour change is a nice patina, but dulling and oxidisation less so, but hey, that's just personal taste.
I have seen videos of people using fine grade sand paper (wet'n'dry) or even steel wool, and then finishing off with a buffer machine. This is the process I intend to adopt unless anyone tells me that the steel wool is a terrible idea. Using something that abrasive does feel a little counterintuitive.