Get a nice foam or microfiber applicator, and then buff off with a plush terry cloth or microfiber towel. In all honesty, the swirls were probably already there. You need to get some polish to get rid of the swirls to have a good finish.
As far as wax, there are many great products. Many tend to lend themselves to particular colors, but it mainly comes down to personal preference as to what is best. I haven't used a lot of waxes yet, but my favorite so far is Collinite 845. It looks good, and depending on how harsh a climate you live in will last months. I've had it on mine for five months now through our Michigan winter. My wax for looks that I'll be using in the spring is Nattys Blue, it is great for our dark colored cars.
As a whole, sealants actually last longer than waxes except for a couple like the Collinite. But waxes usually look better. Meguiars is OK for an OTC wax. I haven't had the chance to try them, but Duragloss is supposed to be a good OTC wax. A lot of people love their Aqua Wax (spray wax). I haven't tried Liquid Glass, but I've heard it'* an OK product. Otherwise the good ones are found online.
2003 Black SLE-Stock
2000 Mercury Mountaineer
1968 Oldsmobile Cutlass Convertible-455 cubic inches of muscle