Polish for tools?

I have a rotary tool and some beat up SD’s I’m trying to bring back to life. Under the shell was pretty grimy, so I cleaned the tools using washing up liquid and then a toothbrush and some Bar Keepers Friend. It did a decent job at cleaning them up, but now I want to make them shine.

I then used a rotary tool and some polish compound I have, but the result isn’t what I expected. I think I possibly made them worse.

Any suggestions on what product to use to give them a mirror finish?