There is a photography board, but I know alot of our grads are picture taking fools

I want a new camera for my birthday but would like suggestions...
This is my current camera:
Amazon.com: Nikon Coolpix S60 10MP Digital Camera with 5x Optical Vibration Reduction (VR) Zoom (Crimson Red): Electronics
One of the things I don't like about it is the length of the flash. It flashes like 4 times before taking the pictures. By that time, Henry has already been blinded and his eyes are closed. If I turn the flash off, most of the pictures become grainy or blurry.
So I need a camera that has a short flash. I also realize Henry is only going to move faster as he become mobile, so I want one that takes pictures quickly.
I don't want a large camera. I love that the Nikon I have fits easily in my purse.
It's a great camera. I've had it for almost 3 years and it would be nice to get another Nikon. It just doesn't seem "kid friendly."