Just visit your local auto parts store, they should have at least 5+ varities of tire shine to use, I usually go with a NON-Wipeoff kind, the spray on and let it sit. its brainless.
Be sure to wipe any excess foam off the wheels when you spray
I usually get some wheel cleaner and spray that down then wash them and then do the tires.
the shine wont last that long, I notice depending if it rains or snows or not, it lasts a week or two and I've tried several different brands/kinds. I usually just go with the cheapest or whatever is on sale.