Photos in low indoor light? Help!

[aimeecc]

I have a decent camera (Sony DSC-7). Lots of features i don't know how to use. I bought it because it got good reviews, was supposedly great for action shots, even in low light.
Here's my problem. 99% of the photos I take are of my son, who is 11 months old and does not sit still. So 'action shots' is all I get. We are almost always indoors, in 'low light' (40 watt bulds in lamps kind of light). The camera either 1) takes to long to focus, so by the time it takes the picture he has now moved (generally towards the camera to grab it - so I have a billion pictures of the top of his head as he's crawling to the camera) or if not moved, that award winning smile is gone (I have a million photos of him with his mouth open and eyes half shut, looking quite un-cute) or 2) it doesn't focus, so the picture is blurry.
What can I do to get a good photo? Only 1 in 10 or 20 actually turn out with something I want to keep.