Anyone know of a good website that explains how (or what) to adjust on a digital camera so that night pictures don't come out blurry?

I've got a Casio something or other and it's got a nighttime mode, but that leaves the shutter open longer (naturally). Of course, the slightest movement of the camera and you get a nice blurry picture.

I've tried this on 3 other digital cameras (diff. manufacturers) and they all do the same thing.