If you want to do it yourself, this stuff
will polish aluminum to a chrome like appearance. It's a lot of work though.
I'd start out with buffing wheels and compounds, then finish with the Nevr-Dull wadding compound
http://www.hobbytool.com/polishing-instructions.htm
It's a bit messy, as the buffing wheel material and compound flings off pretty readily. Building a simple cardboard shield around 3 sides of the work space / wheel and a shop apron wouldn't hurt to make the job a little more appealing.
The good news is the Speedmaster wheels are constructed so that a buffing wheel would hit around 99.9% of the surface area, except maybe for surface inside the wheel slots in the back wheel.