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It would be helpful to know if you're pursuing or thinking of continuing with music education/a degree of some sort. Further education and training is important in any field, including the arts, speaking as a singer. It is one thing to have a natural talent, which I have, and another thing to have guidance and training, which I didn't pursue and wish I did. But as far as "getting yourself out there" goes: the world as a whole, including the music industry, is very different now days as compared to what it used to be. If you're starting out with not much more than natural talent and a dream, there are still some avenues you can walk down: YouTube is almost "old school" at this point, but recording and posting videos is an absolutely wonderful way to get yourself out into the world. Both musical and commercial. Also: do not underplay the worth of playing/singing in clubs and bars,even if its simply a karaoke or open-mic night. Any publicity is good publicity when you're beginning. Not to "expand your fame" but for a much more fulfilling purpose: letting yourself get comfortable in yourself as a public performer, sharing your passion with strangers. Do not underestimate the importance of having comfort ability in yourself, especially in front of strangers. Because: you know what you sound like making music alone in your room or in front of friends-and how good that feels. It is a different thing to feel that warmth and joy doing what you've done your whole life in a myriad of situations in front of a myriad of types of audiences; crowded room in a bar, group of recording execs, a sold-out audience, etc...and it is best that you keep your confidence and comforatability with yourself up so that no matter where you are, you can share that deep, genuine love you have for the music with your viewers.
I'd like to know more about you before answering your question.
What type of music career are you interested in? Are you a singer? An instrumentalist? What genre of music are you trained in? Do you want to perform? Be a recording artist? Teach? Or all of the above?