Brightsides is a one part polyurethane by Interlux. They also make a two part polyurethane called Perfection. I have used both. Brightside is an easier system to work with but it is soft finish. A two part paint system is harder to work with, but it is a harder finish that is more resistant to scuffing and lasts longer.
Both the one and two part paints look great for the first few days after you apply them. After a season, you may be wishing you went with a two part.
I've been told the Interlux Perfection system has less color pigments (?) which is why you need several coats, but it is also why it looks stellar and why the finish so hard.
Both Brightside and Perfection can be applied with a brush and roller. It requires a good "Roll and Tip" method, which took me some time to get right. If the existing paint in your cockpit is a one-part paint, you can't put a two-part on top of it. You can apply two-part polyurethane on top of existing paint if it is two part or gel coat only. The factory will tell you how to test for that.
Whatever you do, read the literature from the factory very closely and several times. As Navicula said, look on YouTube for the videos. It is all about the preparation, not the actual painting. Here are a couple short videos, though there are plenty more on-line you should see as well:
http://www.youtube.com/watch?v=sUv9HNiMQuM
http://www.youtube.com/watch?v=i-cVvbO-NGc
The videos above show the application of two-part to a hull. The finish is that hard! If you use it on your cockpit, you'll want to remove as much of the existing deck fittings and fixtures as possible. A two part system, while great when finished, is just terrible to try to work around a lot of masked areas. The video shows them using it on a smooth hull with no obstructions; it is a different story to get around cleats, winches, winch lockers, etc unless they are removed. If that is too much of a hassle for your paint job, you may want to go with a one-part system. The flow characteristics are easier and the pot-life is longer, but as I said, it isn't as hard as a two part and won't last as long especially in high traffic areas.
People get pretty religious about Interlux versus Awl Grip, but they are the owned by the same company.
Good luck.