That's pretty much the thing to do. Fortunately with most p&s's, the "Depth Of Field" is so deep that they are pretty forgiving in this regard. If shots are still out of focus, you can further increase your DOF by using smaller apertures. Put your camera in Av mode, and try successively smaller apertures, like f/4, f/5.6, f/8, but don't go past f/11. As long as the camera can meter the shutter speed at 1/100 or faster, you should be ok. You can help the camera select a fast shutter by increasing ISO too. Most p&s cameras start to look like sh!te by ISO400, but the noise is less noticeable in bright scenes.
Don't mistake motion blur for out-of-focus though. If you're getting motion blur, you need a faster shutter speed, and you may have to open the aperture back up to f/2.8. Motion blur is directional, OOF is unidirectional.