With your budget, you should be able to get quite a decent camera with 5 mega-pixel, but even a 4 mega pixel count will do. Lens range within your budget would usually start with 35mm or 38mm. Then compare the zoom range, and decide how much zoom you want. Ability to take short movie clips with sound is almost always included now (Compare maximum time allowed). Direct printing is quite often included, but not necessarily useful.
You can start looking in the Olympus mju series and the Canon IXUS series. These are simple cameras with good looks. The available functions will let you take a good photo in most settings, but you will not get controls such as aperture priority or shutter priority.
I'm afraid it's all a bit baffling in the beginning, but you will get there.
You won't go wrong with a Canon, but then there are so many decent cameras ....