I'm on my third digital camera. LOL
My first one was an Olympus which I absolutely LOVED. It was only a 3mp, which when I bought it was good, but on a whim I upgraded to a Minolta Dimage (the model escapes me at the moment). I loved the speed at which it powered up, and the rapid fire shots are amazing. You really don't miss a moment with that camera. I've had problems with the flash and need to have it repaired, not sure what the problem is with it. This year when my sister and I were planning a trip to the World, just us and the two little ones (2 & 4) I decided something smaller and more compact would be better. I purchased a Casio Exilim EX-Z750 which is a teeny little thing that fits into my pocket and has a huge LCD screen. It's a 7mp which takes great pics in high light and good pics in low light. It's not good for things like fireworks, but most point and shoots aren't, so that's to be expected.
If you're looking for something small (which when you're going to the parks comes in handy), has great shot resolution, and is point and shoot easy, the Casio is sure to please. And the price was also pleasing.
I did a lot of research at Cnet.com before purchasing, they have a great site to not only help you find the most info available, but they also help you find the best prices.