I bought the Canon PowerShot S5IS camera just before Thanksgiving last year. It's about $300+ from Amazon.
http://www.amazon.com/s/ref=nb_ss_gw/105-###-###-####-###...
I really liked how fast this camera takes pictures. I also liked the quality of the pictures when I used the zoom to take pictures. [During the recent eclipse of the full moon, I took pictures with this camera... if you'd like to see them, send me your email address and I'll send them to you.]
I recommend going down to Best Buy (or someplace similar) and trying out the cameras they have on display. And ask them to put a memory card into the camera, so you can see the pictures (to get an idea on rate of capture) you take while your daughter or husband runs around the store.