I spent the better part of saturday polishing stuff. I use a BIG box fan motor mounted on a stand that has a buffer attached. I have some polishing clay bars, brown and green.
I buff parts on the wheel to clean the and do most of the work. My budy gets some stuff he got from a guy peddling homemade polish at car shows years ago and still buys from the guy. It is nice stuff.
In your case, get some good finishing polish after buffing them on a wheel and rub, rub, rub.