IMO you will get the best advice and products from AutoGeek. CG has some OK stuff (shampoos, APCs, etc...), but the knowledge is distributed a little more "cleanly" around here if your a new guy. Also - you will need a machine polishing set up to get rid of your light scratches. If you need help (and you likely will) - you will get the best/most/fastest help here. CG is OK, AGO is top of the line.
I'm going to make some recommendations based on products I've used that are EASY to use, satisfying/fun to use, and are top notch.
1. Clay: you need some type of decon. I would get Pinnacle Clay because it's not super aggressive and your car is black. Aggressive clay can mar/scratch. Of course, installing extra scratches is never a good idea - even if your polishing afterwards - especially if you are new to claying.
2. Clay lube: get a bottle of Ultima Waterless Wash Plus. It's a no-rinse/waterless wash that has a zillion uses - one of them is a clay lube. It's generally considered the benchmark.
3. Iron decon: paint often has iron particles in it. Get IronX to remove. It's a spray. If your not sure what this is or how it's done, check out the product on You Tube in action. It's a necessary step once a year or so.
4. Polisher: Griots Garage 6". Trust me in this one. You can spend 2x as much + on a polisher - but it won't be as versatile as this machine. I know you have a PC - but the GG6 is worth picking up.
5. Pads: I would get Buff N Shine pads. However, the pads that are sold by AG are OK and work well, but IME BnS pads hold up better. You will need cutting, polishing, and finishing pads - 3 of each at the minimum. The reason why you need so many types of pads is you won't know how the paint will react until you actually go to polish it.
6. Polish: I would get the 3 WG (Wolfgang) polishes. If your swirls are light, you probably only need the TSR and FG. But you won't know for sure until you try.
7. *** So, all the above products will add up to hundreds of $$$. You may not want to go that route at this time. This is the stuff to get if your trying to make the car PERFECT. If you just want to "clean it up" and wax it - Get Prima Amigo. It gets paint ready for a wax and leaves it looking great (hides some scratches/swirls).
Please trust me here. Prima Amigo is a light polish/pre-wax cleaner/ and acrylic type glaze all in one product. Anyone with 1 functioning arm can use it by hand/machine and get very good results. Wipe off is effortless and it will leave your paint ready to be waxed. You use this after claying and iron decon.
Amigo can also be used with a machine on a variety of pads to prep the paint for wax. The more aggressive the pad - the more aggressive Amigo becomes. But, it's mainly a prep product - not a swirl remover. It won't remove scratches - but it leaves a shiny glazed finish.
8. Wax: really you can pick any quality wax. The real difference in how the paint will look will come from machine polishing - not which wax you pick. But a good wax that is easy AND fun to use is Dodo Juice Blue Velvet Pro. I think it's about $80. If $80 is too much, go with P21S Concours Wax. I think it's about $35. That is also easy and enjoyable to use. I have Pete's 53 as well, it's a good wax - but these are better IMHO.
9. Towels: you need some decent towels. Towels from Autozone shouldn't touch your paint. Get some decent towels from AG. I'd start with some Cobra Golds 16x16". These towels are universal enough to do almost any job on paint.
