I saw someone with a little Sony digital last night and it seemed very small and had lots of options. It could also take short video segments for action sequences. Looked good to me.
Bike: Yes, my Sony DSC P-1000 will take video clips. They are available in two resolution levels, the lowest produces a tiny image and somewhat choppy action, but the files are small enough to be readily transferred over the Internet. At low-res, you can also make a video clip of almost feature-film length, if you have a large memory card like mine (512 MB). At the high resolution setting, you get an image the full size of the camera's monitor screen, and good quality of action, but it produces enormous files which fill the card in mere minutes and, consequently, are transferrable over the internet only with a high-speed broadband connection.
I have used the low-res mode to make quick video "notes" of things I wanted to refer to later, and for some fun in catching people "in the act" of doing silly things. However, if full-motion video is what you're after, you are better off with a dedicated digital video camcorder, preferably one with the option of saving the images on tape, compact DVD, or memory card. These cameras are still a bit too expensive for my blood, considering the limited use I would have for it. I'm basically a still photographer, not a videographer.