The East Coast Swing is categorized under the Latin/Rythm dances. It is the most common style of swing dancing. The first video is a video of a couple at a dance performance. You can get a good idea of what kind of music to swing dance to and also see how it would look when you are proficient in this dance.
The second video I included is a video that teaches beginners the basic steps of dancing the Swing. The teacher does a good job of demonstrating the basic steps for both the leader and the follower. He also teaches you how to count to the music so you can dance to it on beat. Get on your feet and start dancing the swing!