I have black too and will be correcting the swirls soon. I've just been waiting for some time and some nice weather.
Waxing it won't remove the swirls. A black wax may hide them some but it's just a filler.
You need something like M105/m205 by Meguiar's. If the swirls are light you might be able to use just the 205. There are a bunch of other products out there that will give you the same results, that is just what I use.
I'll be using a Porter Cable 7424xp.
Here's a pretty good link. You can see they got some pretty good results by hand in the door handle picture.
http://www.detailedimage.com/Ask-a-Pro/polishing-how-to-with-meguiars-m105-m205/