More to your request, Bob...
If you expect to enlarge and print your pix, avoid a camera with fewer than 6 megapixels. If you mostly want to post on the Web, you can get away with a lot less, but I think you'd later regret it. You might want to find out if the camera offers a size feature that allows for taking a picture specifically for Web placement. The Lumix offers such and with the 4Gb memory card, I could take about 12,000 pix in this mode before the card was full.
Don't concern yourself much with Digital Zoom. Optical Zoom is what's important. Many very basic cameras offer at least 3X Optical Zoom. The Lumix I purchased offers 10X. (It may be worth noting that the zoom number begins with the lens's widest field of view. In other words, if the widest field is actually wide angle, the zoom is X times that, not what would be the normal field of view.)
Get a camera that offers some feature of image stabilization to help with the jitters.
Check if the ISO offerings are high enough to give you a satisfactory pic in low light.
Most of the pocket digitals are doing away with a small viewfinder and relying strictly on an LCD screen for focusing and framing. But there are still some out there. The top of the line Kodak offers both with the added feature that the small eyepiece viewfinder is also an LCD. This camera is a somewhat larger than a pocket, but still considerably smaller than the pro digitals that allow use of one's lenses from an old 35mm camera.
For biking, the pocket has the advantage that you keep it on your person where there is less vibration, rather than in a saddlebag or tank bag. I can attest that my old Pentax survived many a trip, but I often found the retaining rings around the Takumar lenses loose and missing a tiny screw, no matter how I packed the things. (BTW, any collectors of the original Road Rider magazine? See the January 1972 issue.)
These pocket digitals are becoming better and better, both in what they offer (GPS will be in some in another year) and in quality. Photographers are demanding it, because who wants to lug around extra equipment if you don't have to.