December? Too soon? It's...4 months away. I taught myself the basics of a dSLR in a much shorter span than that, though extra things like compositional style came later (and have yet to come)...but that topic isn't strictly related to dSLRs.
Then again, I WAS very interested in learning about things like aperture, shutter speed and so forth, because they were things I absolutely had to consider when I got a new camera and my first lens. The only real difference between me and and a complete n00b was that I already had several years of amateur experience and general familiarity with photoshop, and a little experience with a compact digicam (which made almost no difference in and of itself).
The very biggest gap between compact/P&S/prosumer digicams and dSLRs is price; a very large jump ahead of most cameras with their own built-in lenses.
The second biggest difference is that colors tend not to be as saturated, scenes not quite as contrasty, or initial details quite as sharp, with a dSLR, but the settings - though I discourage upping saturation in-camera due to an undesirable side effect of amplifying what is known as CA/Fringing - can be increased somewhat to make the results appear more like what you'd get from a compact camera. If you know nothing about photoshop or other post-processing tools, that may be better for you. You should also leave your camera on the default color space (sRGB) because it appears more saturated and requires less post-work than AdobeRGB.
The third is that you begin to need to understand more about aperture and shutter speed if you want the best pictures, because these factors become more critical (especially aperture) with a dSLR. For now, you may not even need to learn much more than the effects of these two things and a few related rules...such as the one about keeping camera shake from causing blurred photos by making sure your shutter speed is at LEAST the same number (in fraction) as the focal length your lens is set at: Ergo, 28mm = at least 1/28th sec; 75mm = at least 1/75th sec shutter speed...or the nearest number rounded up. Always keep the camera as steady as possible, and increase shutter speed if you're still getting shake-blurred images.
You have lots of extra control with a dSLR, but you may not need or want to use it yet, which is fine.
Look up these things online via wikipedia or a search engine: ISO, Aperture, F-Stop, Depth of Field, Shutter Speed, Camera Shake, Exposure, Rule of Thirds. For camera functions, look up Aperture Priority (Av) and Shutter Priority (Tv).
You should be ready to go once you familiarize yourself with those things, their effects, and how they're interrelated. However, I've heard/read that a few people with very expensive dSLRs have done extremely well by just using the automatic mode and letting the camera do all the thinking.
For more advanced info about lighting and so forth, you can look at http://www.photo.net/learn/