When I started cleaning tires and rims from dust and dirt, I realized that I needed the help of specialists. Got great instructions at How to keep clean your car on wheels | Wheels and tires cleaning like a PRO
here how for cleaning car wheels and tires with a microfiber towel and cans of detergent. There are also excellent recommendations for steam cleaning, which is the safest and most effective way. I recommend to get acquainted with the experience.