Point and Shoot Cameras

I am looking for a good point and shoot camera.  My husband told me to start researching digital cameras for my birthday. I told him that's not until October but hey, I'll start now.

I have a good digital SLR camera but I want a smaller, more casual camera for everyday picture taking.  It needs to have a better than average zoom on it with good picture clarity (mega pixels) for using it at the stable taking pictures of my daughter on her horse.  I don't take my SLR camera to the stable often because of the dust.  I'd hate to get arena sand in my lens.  The camera I am looking for also needs to be able to take video.  It needs to be able to go from a birthday party, to a school music program, to the stables.  I'm not sure what to choose from.  Any suggestions?