Also use it 4:1 (or full strength) on tires, scrub with a dedicated tire brush. Makes a big difference on the look of the tire as well as how well dressings adhere and hold up.
I have that wheel brush, it's very nice. I also have a skinny brush to get behind the spokes and into the barrel of the wheel, similar to a Wheel Woolie. I also have a short, stiff bristled brush for the tire.
I generally don't like most off the shelf wheel cleaners but the Eagle One Black and Plastic Coat Wheel Cleaner is a good choice for more than just wheels. It also works as a chemical fallout remover like Car Pro Iron-X and is a LOT cheaper. Just make sure you get the Black and Plastic Coat one as Eagle One sells several different versions. Just let it set on your wheels if there is heavy brake dust.
Wheel cleaners, even acidic ones, are safe on clear coated wheels AND car paint (can get out water spots). You run into trouble on uncoated and aluminum wheels. You CAN use the acidic cleaners on aluminum wheels but you'll need to polish the wheels after use. Tires are where I recommend the soap and water approach but wheel cleaner is fine for most applications. Just know what wheels you have.