Digital camera resolution is measured in pixels and, in part, influences image quality. If you want to go to print, you'll need a minimum of a 1-megapixel camera, but you may have to keep your print size to 5x7 or less. When you're looking at numbers, stick with the true resolution. Interpolated resolution is basically software dependent and varies greatly in quality. If you need or want more lighting control, look for a camera with a hot shoe so you can attach an external flash.
Some cameras come with both a built-in flash and a hot shoe, offering the best of both worlds.
Depending on the camera and, more importantly, your budget, you'll have several decisions to make about lenses. Again, what you choose will depend on what kinds of pictures you'll be taking and the quality level you need the camera to achieve. The former focuses in on the subject optically like a film camera, so the camera is truly capturing only that information. The digital zoom essentially crops the image in camera until it looks like you've zoomed in, similar to what you can do with image-editing software. If quality is high on your list of criteria, an optical zoom makes more sense.