Looks like you've got it already...
What does the kit entail?
Turtle wax products are usually very basic in quality and ability, and for the money (assuming you've headed to halfrauds) a better alternative can be had online for a very similar expense.
Best way of doing it, IMO, would be to start with 1000 wet and dry (depending on severity of current condition) working up to 3000, then a cutting compound with either a D/A or a Rotary, then refining and finishing with a protecting stage.
You'll have a hard afternoon's work if you're doing it by hand.
All in my humble opinion, of course.