Take photos of anything you find interesting. Anything. Everything. What I did was walked around the house and neighborhood trying to put a creative spin on every-day objects.
This was the first shot I took that I was actually proud of. And it's just my kitchen chair.
Read your manual from front to back (a bit hypocritical of me as I have not done it myself, but it really is important in learning all the features and functions of your camera)
Study the
rule of thirds. Not so much a rule as it is a guideline, but important to learn as you're starting out.
Read
Understanding Exposure
Plan some ideas out in your head of things you want to shoot and try to form a visual and see how close you can get to achieving it using your camera.
Pick up a
nifty fifty. It's one of the best, most versatile lenses you can buy, and it's also one of the cheapest you'll find (around $100 bucks). You'll eventually probably get one anyway, might as well get it now so you have a quality lens to work with.
Your camera doesn't take good pictures, you do. All you're seeing is that your DSLR has a better quality sensor and better quality optics than a point-and-shoot that you're used to. I guarantee most of the shots you take right now, being inexperienced, are crap. You'll start seeing that as you get more practice. Also, megapixels don't really matter until you start sending photos off to have large prints made, and even then, resolution is highly dependent on sensor size. Megapixels have turned into not much more than a marketing gimmick... so don't get your head too wrapped around that, it doesn't matter for the time being.