I am getting into this but have very limited budget. Ended up buying a Cannon SX1 - no DSLR, but gives a nice comprimise with a larger lens than most compacts with the smaller price.
Sometimes I wish I had gone full DSLR, but most times the smaller camera means I have it with me, and as the lens cannot be changed, I always have the right one on the camera, and I get a useable photo
What I am finding is the limits of the camera make me think about how to get the good shot in difficult conditions. With a really good camera, the limits mean you can stop thinking sooner, and get 'difficult' conditions less often.
I remember a few years back a newspaper sent it's photographers out with a disposable 24 frame camera, to prove that it's not the camera that makes the photo. They did! You should have seen the shots these guys came up with.
Don't for an instant think you can't get good photos without a DSLR, and you will always get great photos with one. A DSLR just makes it easier to get a good photo. You will learn more starting with a camera with limitations.