Harbor Freight DA polisher ($80-100), 5" Lake County backing plate ($18), 5.5" orange cutting pads and white polishing pads ($7/ea), Meguiar’s Ultimate Compound (light cutting polish), Mequiar's NXT wax, lots of microfiber towels, Iron X or similar product to remove metal debris in the paint, and some clay is really all you need to pull off excellent results. Use orange pads if it's been a rough year for the clear coat and white pads if the clear coat is in good shape. No need to use both for polish job.

IMO, a lot of people waste their mind, time, and money on all of these multiple "stage" cleaning and polishing and products and expensive polishers. Sure, if you've got a show car, go for it. For a daily driver that you want to have 95% of the effect of doing multiple stages of painting cleaning/polishing (i.e., the played out "paint correction"), the products I noted is all you really need.