Your budget will not be enough for your needs. My recommendation is for you to get something like this:
Nikon D5200 camera (Body Only - Black Color) [
$550]
- The extremely good 24 mpix sensor, in this entry level DSLR, is rated by many specialized sites as the best image quality camera among crop sensor APS-C DSLRs. Here are my sample shots with this camera. The flip out screen is ideal for video work, selfies and difficult angle shots (works like a charm). It does 5 frames per second, wich is not too bad at all for your first DSLR. I really recommend it as a first DSLR. Buy it as body only, with no kit-lens included, then you get this super-zoom lens recommended below. Get at least one extra battery (EN-EL 14A [$40]), and also a good SD memory card [$40] to use with this camera.
Sigma 18-250mm F3.5-6.3 DC Macro OS HSM lens for Nikon [
$350]
- This is a super-zoom lens (18-250mm, or almost 14x zoom). As all super-zoom lenses, it has some downsides on image quality, but nothing really bad to serve as your very first lens. I have this lens and it really works well. Here are my sample shots with it and the D5200. It's not the best lens out there at all (these are very expensive), but I do like it for what it's meant to be.
Total investment:
$980, with a garatee of great shots and fun ahead of you.
And after you buy that kit as your first camera and lens, you start saving for buying some extra lenses in the future, with much more improved quality (you won't regret), like these ones:
- Sigma 18-35mm f/1.8 DC HSM for Nikon [$800] -- today's best zoom lens for crop sensor APS-C DSLRs, fast and bright f/1.8, ideal for landscape/general/street/night/low light photography. Here some sample images.
- Nikkor AF-S 35mm f/1.8G DX [$200] - no zoom here, but a high quality fast/bright lens at affordable cost, ideal for general/street/night/low light photography. Here some sample images.
- Nikkor AF-S 40mm f/2.8G Micro DX [$250] - no zoom here, but a high quality lens at affordable cost, ideal for macro work and for general/street photography as well. Here some sample images.
- Nikkor AF-S 85mm f/1.8G [$500] - no zoom here, but a high quality fast/bright lens at affordable cost, ideal for portraits, given its added reach of 85mm. Here some sample images.
- Tamron SP 70-200mm f/2.8 Di VC USD [$1,500] -- today's best cost-benefit high quility pro-level telephoto zoom lens, very fast and bright, ideal for mid-to-far way subjects, for portraits and for some action/sports as well. Here some sample images.
- Tamron SP 150-600mm f/5-6.3 Di VC USD for Nikon [$1,070] -- today's bargain for super telephoto reach out there, ideal for far way subject with much extra reach, like wild life photography. Here some sample images.
Visit these two links below for studing lens and cameras reviews:
Here is the look of the Nikon D5200 mounted with the Sigma 18-250mm lens:

D5200 and Sigma 18-250mm by
ruimc77, on Flickr
And never forget the most important thing, among all: keep studying and practicing to be a better photographer. A good photographer will take good photographies with any camera and any lens out there, any...