What you want is what we call a Point and Shoot (P&S). There are lots of them on the market, they change about every 6 months or so. The leading manufacturers (in no particular order) are Nikon, Canon, Panasonic, Sony, Samsung, etc. Some criteria of choice:

- Almost all of them have no viewfinder so you view on the back as you want
- Yes all these cameras are digital nobody is buying film any more
- Almost all have image stabilisation which is good in low light
- Some are very small but this usually means a compromise in image quality
- Some have a big zoom range but this usually means the camera is big and again there may be a compromise in image quality
- All of them have more than enough megapixels (6Mpix is enough) so don't use that as a factor of choice.

Check out the reviews section to see if a particular model is in there.