[Perfectlap]

Speed yellow... the color I love but so does the police.

The swirls aint coming out by hand unless you are prepared to cry.
Its an easy DIY if you have an ORBITAL buffer. Just takes time.
Getting out those circles has to be done very slowly with buffer, at least an hour.
Menzerma Intensive Polish is a good choice as is Optimum Compound.
First with the white pad then with a yellow or orange cutting pad.

As for waxes for yellow or white I've seen first hand very nice results with a very inexpensive spray wax that you can get at NAPA stores or online at Duragloss.com
It's called Aqua Wax, best bang for the buck I've seen.
Great for post wash detailing.
As for your monthly paste wax S100 which you can get at a Harley Davidson shop is great for layering if your car sits in the garage most days.
If you drive it outdoors or park it outside allot, rather than using a pure Carnauba wax like S100 which tend to fade after as little as two week and attracts soot,
I would instead go with a full synthetic acrylic wax that lasts much longer, sometimes months. I find all acrylic paste and liquid waxes do pretty much the same job but I use FK1 Pink Wax (FK1usa.com). One $20 tin will last you forever.