I'm assuming you're doing this by hand. If so the cleaner wax won't be doing much of anything and even using polish by hand would be difficult to accomplish much.
A simple claying and wax would be the best way to approach this. Trying to polish by hand will yield disappointing and uneven results. Claying is definitely easier than hand polishing. Then simply use Collinite 845. A freshly clayed surface will bond to the wax the best. The polishing is simply for looks but if you must polish by hand, Meguiars Ultimate Compound is probably your best bet. But claying should still be done, if there's a step you should skip it would be hand compounding.
If you really want it to look good, the best performing cleaner wax with durability that will improve the looks by hand would be Meguiars Ultimate Wax.