Those of you who know me, know that I rarely ride without my trusty Canon camera. I keep it in my jersey pocket and use it to take pictures of the epic rides and epic riders who ride with me. I tend to favor the hand held method which gives me the flexibility to take artful pictures like this one:
or shots of fun stuff I see along the way like this one.
If you prefer to only take pictures of what is directly in front of you, Photojojo shows an inexpensive DIY method of attaching a camera to your handlebars.
I imagine one could attach a video camera the same way, although it seems that the best way to go would be the helmet cam.
Have fun. Ride safely.