You have price figured out- that is good.
Now answer the following:
1. What are shooting? Are you shooting family events, motorsports events, landscapes, wildlife, etc.
2. What do you want to be able to shoot? Everything very well, what I am shooting plus _ _ _ , just what I am shooting but better.
3. Does size matter? Is your significant other or kids going to use the camera. Do you want to be able to put it in a purse, small backpack, or are you okay drudging a huge camera bag everywhere you go?
4. How serious do you want to get into photography? Much like vehicles, camping gear, and every other hobby- the more serious you get the more expensive it gets. Are you looking at $1k and done, maybe a little more, or you realize this $1k is just the begining?
Couple things to consider after answering all of those questions.
There are some very nice "point and shoot" camera out on the market right now that offer manual settings, video, and even ability to add a hot shoe flash.
There are pro-sumer cameras which are a blend of point and shoot and dslr cameras. Much like a dslr but you cannot change lenses.
Then there are several levels of dslrs. Can change lenses, add flashes, full control, but also have some down falls like size, weight, and expense. The real expense comes in lenses which can be as much or several times more expensive than the camera body itself.
All dslrs are pretty good and even though I shoot Olympus I often recommend people to stick with Canon or Nikon due to the sheer availability of gear including used equipment. Sony, Fuji, and Olympus make good cameras and high quality glass but it is not as available.
Just do some research and get some cameras in your hand before you buy.