If they are heavily oxidized, start sanding them with medium to fine sandpaper, then to progressively finer paper until they are real smooth. Then use a rubbing compound to start bringing out a shine. Then a polishing compound.
I don't have any recommendation on hand compounds as i have used a bench grinder along with compounds and wheels from Eastwood.
I you have somewhat of a shine already, hand compounds may be all you need. Maybe something like Weenol. It's a lot of work hand polishing aluminum.