I love Canon and would highly recommend that brand since there seems to be a model for each price range. But almost any brand (Nikon, Olympus etc) will produce a good picture as long as you have the right lighting and have some skill (or practice to get to know your camera).

Also, stay away from using the flash on most camera since it really affects the photo quality and you do end up with not so desirable eye effects! Use natural light or turn on as many lights as you can in the room.