To remove the swirls you need to use an abrasive system of some sort. By abrasive, it doesn't mean wet sanding, just something that will abrade the paint (SwirlX and Ultimate Polish are mild abrasive I think). The remove a swirl in the paint, you have to remove all the material around it down to the lowest part of the scratch. Light swirls can be removed with fine abrasive polish and deeper defects will require a coarser compound. It can be done by hand, but you will look like Popeye.

This is where buffing comes in and the use of mechanical action to level the surface. By matching the proper pad with the proper polish or compound, you can remove most average defects.
On a properly prepared surface, the swirls will only "come back" if you are washing/drying the car improperly, using low quality towels, car dusters, etc.
Most of the glazes that fill and hide, don't fill or hide as much as you think (or want them to), so don't be disappointed if there are still some visible defects.
This black Chevelle was compounded then polished to remove the defects. I don't think a glaze would've made a big difference on this one.
http://www.mnzaino.com/phpbb3/viewto...fc8c8c40e7a1f6
Good luck and post some pictures of your progress when you start working on it.
Randy