You need to look for a camera thats going to satisfy your needs. Obviously the more you pay the more you get. In the point and shoot cameras, you need to decide if:
1. You need one that is compact and can fit in your pocket (a big plus). The smaller they are the more expensive they are, the shorter the focal length and the worse the lense quality will be (but you probably won't notice it). The cameras that have the lense sticking out, in general, are cheaper, have better lenses, and have longer focal lengths.
2. What type of memory the camera uses (if you already have memory cards).
3. If you want the camera to use AA batteries or will settle on special expensive camera specific batteries. (I only want to use AA batteries because they are much cheaper and I can carry a bunch around as spares. I got metal-hydride batteries that last a long time and are rechargeable for 1$ to 2$ each.) You'll probably need to buy a spare battery.
4. You'll need to decide if you want a camera that can take pictures at longer distances (longer focal lengths) or close up type pictures. Typically 3X lenses are what come with point and shoot cameras. The're good for full body shots of people up to about 40 feet away.
5. You'll have to decide on how much pixels you need. For 4X6 prints, anything today will work. For full computer monitor screen pictures, my 3.3 megapixel (MP) camera is just fine. Some of these cameras that have 7+MPs will start showing how bad the lense and sensor quality is. The picture will be fuzzy at the edges with blown up to full size. But then again the limiting factor on picture quality is the lense and sensor, not the size of the picture, so I guess you're getting the best picture from the lense and sensor. The larger picture, i.e. more pixels, the smaller the cropped picture can be and still get a decent size picture. Of course the picture quality goes down the smaller the cropped picture is.
My opinion is to only buy cameras from big camera manufacturers like Canon, Nikon, Olympus, Pentax and so forth. Not from Casio, Sony, Kodak, or some no name brand. I'm not saying you can't get a good camera from them, I'm just saying they are experienced camera manufacturers and knows what it takes to make a good picture.