without having to go too far or order anything off line, to get a mirror/chrome like finish i got everything from Lowes and Wally World.
Wally World:
600/800/1000/1500 grit wet sand paper (automotive section)
black and decker dremel with either s/s or brass brush (the B&D brand was a deal. $25 and has 3 variable speeds while the next Dremel brand rotary tool costs $50 to do the same. the B&D accepts dremel brand tools too). plus, this will come in handy whenever you get around to do that port and polishing job

Lowes:
6" buffing wheel
polishing compund (the green stick)
i was fortunate enough to already have a buffer machine. look around at flea markets or auctions. you can get them next to nothing.
i begin with 600 to get out the deeper scratches, 800 to smooth it out, 1000 to give it a nice matte finish, and 1500 to remove any marks left by the 1000. while sanding, i use either water or wd40 as a lube. clean the part thoroughly with mineral spirits or some other solvent. i use the dremel to polish hard to reach spots. the brushes will almost give a finishing polish right off the bat. now, just buff. here's my KZ cases once i finished:

after 1000 miles of high engine heat and weather they still hold their luster. if they begin to dull, just get a soft rag and some sort of liquid polish (i use Blue Magic. dabble a little on the rag, rub til it turns black, and wipe off).
it's a lot of work but hey, hard work pays off

Good luck!