Back when I was young and full of piss and vinegar, I used Simichrome polish to clean aluminum wheels and various other aluminum parts. Great stuff, but you can look forward to using up lots of rags as they quickly load up with black residue. Rather than wear out your fingers, I suggest using compressed cotton "buffs" mounted to a drill motor or Dremel tool (best approach is a flex shaft attachment for either). It will make life much easier if you remove the wheel from the bike, especially the rear.
Simichrome will leave a protective residue that seems to retard oxidation for a short while, but a good approach is to follow the polish with a coat of protective wax. You can still look forward to doing this cleaning and waxing routine at least yearly. One other approach you might want to consider is to get the wheels professionally polished and then clear coated. Most auto companies clear coat their aluminum wheels, and when it's done right and the clear remains unbroken the wheels look good for many years, requiring no more than normal washing to look good.
Jerry