With cameras at first glance 12MP sounds like more than 8MP until you find out that it work just like at the pizza place. You order a "medium" and the guy asks you it you want it cut into 8 or 12 slices. In both cases 12 is not more. Just like pizza it matter a lot how big each slice it, with camera larger pixels are much better than small ones. You need a balance between quantiy and size. 6MP to 8MP seams to be about the right balance. for small point and shoot cameras
http://www.nytimes.com/2007/02/08/technology/08pogue.html
http://www.kenrockwell.com/tech/mpmyth.htm
Your wrote: "probably some action photos too like baseball games" When you do this one thing that can drive you nuts is "shutter lag" that is the delay between when you push the button and when the shutter snaps. The better camera have none of this some other small camera can do a "three count" before the shutter snaps. Hard to capture the ball hitting the bat with a delay like that.
Have you read the specs on
www.dpreview.com it's worth doing some reading there
All that said -- Figure that advice is worth about about what you paid for it