Nikon S700 Battery

Nikon S700 or S600 or Canon A720?
I have to upgrade my current Sony CyberShot camera. My daughter age 12 has a Samsung and take better pictures. Now I know I need a new one. In my research, I limited my selection to the Nikon S700, S600 from Nikon and Canon A720. Can anyone help me decide? Under the light is important, but the ability to have the batteries on hand without having to charge it is important. Zoom in and small (lightweight) is also important. I can not decide.
evaluate him or S52c nikon s52? try adding them in your checklist. here is the specifications and pictures I found. http://www.pinoymug.com/story.php?title=Nikon_slides_out_S52_and_WiFi-friendly_S52c_COOLPIX_fashioncams
