It seems like the digitial P&S take waaaay more time on the autofocus than the analog ones do, can anyone explain why that is? Anyways, Dsub, as others have said you push the trigger halfway down and get the focussing done first, then you tell everyone "smile", then press the trigger. It's pretty quick then.
A have a Canon A75, which is a 3.2 MP camera. That's plenty of resolution for my purposes. It's inexpensive, and has more features than most in its price range including manual override of damn near everything. You can shoot aperture priority, shutter priority (up to 1/2000), manual them both if you like, or select from over a dozen automatic modes. You can switch the focusing mechanism to focus on the centre, then manually keep that focus for the next shot/shots, which is what you want for action. You can select the ISO number to digitally "push" the picture. There's more features, can't recall them all off the top of my head. Video, of course - 640X480 with sound for 30 seconds, lower resolutions for about 3 minutes. Both of the review sites mentioned give it high marks (look for either the A70 or A75 review - basically same camera, coupla more features on the 75).