As you can imagine, there are quite a few different opinions regarding the "best" way to clean chrome wheels. If you go too long, though, pitting can ruin the wheels, so it's always best to keep on a good maintenance schedule.
A solid wheel cleaner, such as SONAX Full Effect, 1Z Colourtec, and even wheel cleaning acids, would all be solid choices. Thankfully, chrome is very strong, and you don't have to worry
as much about dulling or hazing the wheels, like with uncoated aluminum.
After a solid cleaning, you should use a chrome cleaner to get the wheels to a high shine. If your wheels are in good or better condition, then using a product such as
P21S Polishing Soap is a great choice; in fact, it's the one that I personally use for well kept chrome. I have also heard great things about
P21S Multi-Finish Restorer. I think Swanic has a review on this product, which he speaks highly of.
Now, there is another product called Quick-Glo. I found it while I was watching Jay Leno's Garage on YouTube. Here is the video:
Get Rid of Your Rust! - Jay Leno's Garage - YouTube
The nice thing about this is it leaves behind protection, in the form of a wax. This is really a moot point for me, and I would venture to say most of us, because we would seal with a long-term sealant, or, even better, coat with a product such as Opti-Coat, GTechniq C5, or the DP or Pinnacle Black Label products. That being said, it did seem to work well when I tested it. I haven't broken it out in a while, but I have found that I use it more around the house rather than on the car (such as on the grill, etc.)
Make sure to have a good variety of tools, such as Wheel Woolies, Daytona Speed Master brushes, and wheel face brushes. Make sure you get into the barrel when you clean, and ideally remove the wheel to be able to properly clean, decontaminate, and then coat. Sometimes, this is not possible, so having the tools to reach in the barrel is very important. Remember, the brake dust can get into the chrome and ruin it. If this happens, it becomes very hard to salvage and most of the time must be re-chromed - a very expensive proposition.
If you have any other questions, please don't hesitate to ask. Good luck and happy detailing! :rockon