I've always like the DualView camera design from Samsung, starting with the first model a few years ago, as it simplifies self portraits while allowing quite a bit of fun photography options.
The latest DualView, the DV300F, adds WiFi capabilities to the camera that has LCD screens on the front (1.5 inches) and back (3.0 inches) of the model.
In addition, the DV300F has 16.1 megapixels of resolution, a 5X optical zoom lens, and 720p HD video.
The DV300F is a low-priced camera with an MSRP of less than $150 (Compare Prices), which makes it a really nice and fun option for beginners.
Photo courtesy Samsung