Are you looking at compact or DSLR? Because the price you state isn't going to buy much of the latter.
If compact, look at Canon or Panasonic - both are decent cameras for the money. Both have a fairly wide range to suit all budgets. 10 to 12 mp would be a good rating to aim for. Some level of zoom rating is a good feature, but pay more attention to the optical, rather than digital zoom - the latter zooms electronically and you'll lose information in your pictures.
An anti-shake mechanism is a good thing to have. Modern cameras don't give you the opportunity to hold the camera in close and stabilise it against your eye. Holding it arm's length makes it more prone to camera shake.
You may want to have a look at the range of bridge cameras that are available. They look a bit like a DSLR, but usually have a single, non-interchangeable lens and are a little smaller. However, as with DSLR, you're unlikely to get one for the sort of money you want to spend.