Brinny here would be my breakdown for you:
getting into photography i only recommend canon brand point and shoots.
their best model is the s120/s110/s100/s95 these will cost you around 500$
they have all the features such as easy menus and quick shooting and timers and its fully loaded with fun features too such as selective color picker and stuff.
the reason i recommend this is because once you get into more settings this camera has the ability to adjust more manual settings, something you will want to pick up as you get into cameras.
if you rather spend less ANY camera in the canon point n shoot series are far superior than other brands. (just dont get that water proof one its pretty bad)
If you want to get into dslrs then i recommend Nikon gear. its a bit more complicated with settings but there is auto and many preset features built in as well.
the reason you would go here is if DSLRS give you more control of you shots and they could be found fairly cheap too. though the price ranges are 500-900$. I shoot with Nikon exclusively in dslrs and canon with pns.
the differences in DSLR and PNS are the sensor sizes. if you can imagine film cameras and the 35 mm film it has, that is the analog equivalent to the camera sensor. Full frame DSLR (prices start at 2100...

i know ) cheaper DSLRS have smaller sensors( offical name is cropped sensors) and then point and shoots have even smaller senors then that.
Now recently there are advances in that brings me to ICLS/Interchangeable lens systems - which are like point and shoots with the size and the ease of shooting, added with the lens changing benefits of DSLRS. My favorite one is the Sony Nex-5r. its super portable and quick to take pictures yet there are enough manual settings for me to play with and be satisfied. I recommend looking at these before you decide on which camera to buy!
I probably went over what you really wanted but its good for you to see the options you have. Please PM me if you have more questions or i can post them on here too. I cant link anything yet cus of my low post number but I would be more then happy to give you answers to any question you have.
good luck on your decisions.
(sorry for the quick post in a rush to get to work no time of edits)