I'll follow up in a bit with some polish products, but just an FYI, there are some expensive, boutique products, some are good, some aren't (they're just expensive and have way overstated claims), you could get a set of modern products from the big vendors like Meguiar's and be more than happy (but I'll add my $0.02 later anyway ...)
@hawkeye_a
Post-wash detailing doesn't have to be all that complicated (and obv. not after every wash ...), there are some inexpensive, modern products that are outstanding, easy to apply and remove, terrific results.
So a full on detailing might look something like this: claybar > polishing compound > polish > wax/finisher
Claybar and polishing compound you don't really have to do every time, they're an extended prep/cleaning type process. Claybar is, well, a bar of clay
Basically you apply a little soapy water and rub it on the paint to remove deposits, it's great for nasty stains and embedded crap on the surface. Polishing compound accomplishes some of the same - with products, it's about how much much abrasiveness, more the deeper they "cut", so they can remove a blemish, but they're also removing some clearcoat. You'd almost never want to go at your paint with a rubbing compound, that's a serious process - I'd also suggest not using power tools unless you have a donor car to practice on
I tend to claybar and/or use polishing compound as needed.
OK, so polishing, or waxing? Polishing cleans and slightly cuts back the clear coat so the "natural" luster comes through, where a wax is a coating that kind of amplifies the optics (and can fill in scratches). Most modern paint should be polished, unless you specifically want to "treat" it, and wax generally requires a good bit more effort, some require a curing process (apply, dry, remove, repeat, in warm temps). That being said: there are products that do both (a polish + wax or "sealer"), the terms polish and wax are interchanged, there are multi stage polishes that use like an activator - and this whole product category is like a holy war
Here's what I'd get, unless you have a ton of haze/oxidizing/blemishes:
Meguiar's G19216 (polishing/wax prep) for a light compound + polishing
http://a.co/emcdxQW
Meguiar's G18216 (wax) finish and seal and increase the optics (after the 19216)
http://a.co/cZUIyTN
Goes on super easy, comes off the same. Then for a little "touch up" between full on detailing with the above products:
Meguiar's G14422 ("quik" detailer), tops off the wax, enhances protection and shine between detailing, I carry this and some microfiber cloths to car shows
http://a.co/e6tq4LZ
Speaking off, again, I'd turn to Chem Guys for products:
Applicator pads for polish and wax (these are nice, sponge covered with microfiber):
http://a.co/5vvrfAT
Good Microfiber towels for removing product, polishing, use with Quik Detailer:
http://a.co/5qP9OXi
All that might set you back $60-70, and it'll last for some time, it's all easy to find through Amazon, local car parts stores, Wallymarts (though I'd avoid microfiber products from anywhere other than known suppliers like Chemical Guys).
You can probably even find this as a kit of some sort, save money and/or get some additional products.