You can start looking at these two:
Kodak C533 and Kodak C663
Here is a look at their specifications:
Here are links to reviews of the cameras:
In purchasing a new camera, I am looking for a camera with a top priority of taking pictures of my active grandchildren indoors and outdoors. A camera with a quick shutter, fast autofocus, reasonably low light capability, and especially a flash with quick recharge time and adequate power are important features. What do you think would be some options???