I had a an old Honda motorcycle with lots of chrome that needed polishing to stay looking good. I would clean the chrome well and then use Nevr Dull on it. It would keep it looking good for a full season - even after several washes.

It's a polish/cleaner impregnated cotton. Rip off a piece, wipe on chrome, allow to dry to a haze and wipe off. It can be found at most auto parts places. I've even seen ott at Walmart.