The two films below shows two ways to mount a camera on your bicycle.
The first shows what great results you can get with simply mounting a video capable camera like the Canon 5D Mark II on the front basket.
The second film is a bit more technical and it shots how to build a small and efficient mount for a small camera. (Of course, you can always go for a super quick mount hack for small cameras)
UPDATE: a third video was added that shows modifiying a reflector holder to accept a 1/4 20 screw.