I started with a Sony Mavica, went to a 2.1meg Olympus, and now have a 5meg Nikon Coolpix 5700 in addition to my 35mm Nikon. I found the Coolpix a bit complicated at first, but now that I'm used to the features it's pretty cool! And I absolutely love the USB download!
For those of you with the focus on a moving target problem, lock your focus on a fixed point in the image where your subject will be, and take the shot when the kid (dog, goat, etc) reaches that point. I've also found that locking your exposure AND focal point gives the camera less to think about and minimizes lag.
But for pure action shots, I still prefer my Nikon 35mm.
Pete