I agree with Ellington that there is some gyne there that won't go away by just working out. I'm not sure what your ability is in regards to surgery, but if you have the means to do it, then I say go for it as soon as possible.
In the meantime, I wouldn't recommend that you exclusively target your chest, but undergo a whole body strength program. Assuming that you haven't started working out yet, you seem to have a really good foundation of a body.
I would recommend that you start the book "Starting Strength" by Mark Rippetoe. This will give you a tremendous foundation in strength training (I wish I started at your age), and will give you a much better overall look. Start the training program now, and analyze your body after 6 months or so. If you still end up electing to go the surgical route, you will end up being happier with your results anyways.