Hide swirls by hand:
clay bar with Optimum No-Rinse
Mother's Step 1: Pure Polish
Mother's Step 2: Micro-Polishing Glaze
Remove swirls by machine:
clay bar with Optimum No-Rinse
Meguiar's Power DA system (burgundy and yellow pad)
Meguiar's Ultimate Compound
Meguiar's Ultimate Polish
All that is to remove contaminants, clean the paint and deal with swirls. The Optimum No-Rinse is cost effective since I usually go through almost half a gallon of detailer (lube) for one car. ONR is $16 for 32oz. You use 2 ounces to make a gallon of lube... so half a gallon is $1.5 $.5 (ONR) + $1 for distilled water. Detailer in spray quantities is often $8 for 16oz. When claying you are safer off with more lube and there is nothing wrong with more.
Meguiar's Power DA is $50 and attaches to your drill. Use a corded drill for your entire car. A cordless's battery is only enough to deal with a panel or two if you are lucky.
After you are done with the above you then can wax. I recommend two methods:
Meguiar's Ultimate Wax [just to complete the line
]
or
Armor-All Extreme Shield Wax topped with Meguiar's Hi-Tech Yellow Wax #26
Ultimate Wax is so easy to use that I am usually tempted time permitting after every wash to add just a bit more wax.
On the other hand Armor-All's Extreme Shield Wax has lasted me about 9 months. In another car that's garaged and not driven often it lasted more than a year!
Extreme Shield is not known for it's appearance, but shine doesn't come from wax. Since you are doing three steps for paint prep your car will be shiny already. Regardless you can top it with a pure carnauaba wax like Meguiar's #26.
If you layer, do synthetic then carnauba. Most waxes have some cleaner in it so it weakens or removes the previous layer. That Meguiars is a pure wax. I believe Mother's also has a pure wax. You'll have to check.
You'll be looking at about 4-6 hours so set aside an afternoon and eat a hardy breakfast!