The smoothest video will come from the camera mounted on your body someplace (helmet or chest mount), although it isn't horrible on your bars either. I had some luck with mine mounted on my engine guards too although some say it didn't work for them there. I have a gopro.
The helmet mount probably looks the dorkiest IMO (top or side), but it works and it films what you look at, so whatever.
If you just want it for security, add a mount to your bars and set it to forever record (if your camera has that mode), then you just hit the button if you want it to save the last hour of video or whatever.
I like the Gopro studio software because it has Proview built-in, but there are other editors out there with the Sony Vegas Pro being the top end application (so I hear). Windows Movie Maker works pretty well too, nice and simple.