Clamped my Canon G10 onto my bike and rode from my apartment, through the city, on my way to a coffee shop for an afternoon fika. When I saw how shakey the video was from all the coblestone, I decided to see if I could remove any of the shaking with software. I found the Deshaker filter for the VirtualDub video processor. Both are free, though neither is very easy to use.
Video shows original and processed video. You will notice the chaotic processing trying to cancel out the shaking. Sometimes it works, and sometimes it doesn't.
Disguised As Birds: disguisedasbirds.com/
I used Sony Vegas to edit the original video, but had many problems rendering a consistent video quality. I had to render it by segment, reassemble in Quicktime, and then export as mp4.