I love love love my Canon -- I've had it for 6 years and I have no plans to replace it. (If I did I'd replace it with another Canon!) Never had one problem, and I take LOTS of pictures. LOTS.
It does have that lag in the regular shooting mode, but I always shoot in the continuous shooting mode (you only have to push one button to change the setting, it's no biggie) so it's not an issue for me. With small children, it's best to take 95657768 pictures in a row, ensuring that you'll get 1 or 2 good ones!
Whatever you go with, just make sure you have optical zoom! Once in a while you'll find a good deal on a camera and wonder why...usually it's because they don't have optical zoom, only digital zoom, which is a nightmare. IMHO.