I wanted to throw my humble input in here too. I bought my first dlsr last July and I'm obsessed. There are tons of great options out there right now. Some are right for where you're at today and some are more applicable for you down the road. I think now is an excellent time to get into photography as the cameras + lenses are being upgraded quite nicely. Some lenses that are 20+ years old are just now seeing upgrades.
Most people are super passionate about HOW they take pictures and the gear they used. It's incredibly personal and because of that we're all very attached to the tech that made it possible. So take everyones advice with a grain of salt. Mine included. Except on the lenses. Better lenses will give you better results on every camera.
Here's the route I went. Not saying you need to do the same, but thought I'd share my experience and purchase choices. I found I love shooting only prime lenses. This means my lens is only one focal length. I like the limitations on having to "zoom with my feet." I've found it pushes me to learn faster and be more creative with what I'm trying to shoot. So, here's the gear that I purchased in purchase order and the prices I got it all for. Everything was new.
Gear:
Canon SL1 - $750 (I love the smaller size and it's really lightweight. I can take it anywhere and not feel "burdened" by bringing my dslr. The size may be completely wrong for you, but it fits nicely in my hands. Currently $500 on amazon body only)
Canon 50mm 1.8 - $125 (The ever popular Nifty Fifty. Excellent lens that can be used in a variety of shoots.)
Canon 35mm f2 USM IS - $550 (LOVE this bad boy. Amazing all around prime. Ridiculously sharp and perfect focal length on the crop sensor.)
Canon 85mm 1.8 - $320 (THE portrait king unless you're looking at L glass at 4x the cost.)
Accessaries:
Lightroom 5 - $150 (if you're a student it's cheaper)
Bag - $50
SD cards - $30
Extra battery - $40
Total: $2015
I really want to focus on portraits, but as I've been filling my portfolio I've been shooting all over the place. Portraits, street photography (REALLY love this), musicians and landscapes. Check out my site for some examples if you want. My logo is absolutely terrible and I'm working on fixing that. But otherwise take a look at what I was able to do with a $2000 budget.
http://www.thirdprincephotography.com
Best of luck to you and welcome to the obsession!