I started getting into photography after handling a couple nice cameras from the school in our Media Arts (photo and film) class, and I thought it would be a cool hobby. I only had a small P&S but immediately bought a better one (Canon S3 IS) and started shooting landscapes, still life and macro. My parents gave me a pretty positive response, and my friends thought my pictures were cool so it really encouraged me. I then made an impulse buy on my first DSLR (bad choice btw) but I'm glad I did it. Having a new camera gave me a higher level of interest in it, and I began to broaden my horizons.
In terms of advice, I'd say just find what you like to take pictures of, and develop your skills from there. It's always easier learning one way and then starting again in another area and applying your current skills rather than trying to master all types of photography at once. For me, it was just shooting still things, and then I moved on to events and things like that, which are my passion. Then I moved to studio work, and now I'm trying to work more on sharpening my skills in each of those.
Take lots of pictures, and only expect to like 5% of them. One great picture is worth a thousand failed attempts.