Therapy and medicine is probably important, but it will take some time. The best advice I can give is to enjoy and embrace your GOOD emotions. I am myself a very emotional person, and it can suck sometimes. News can make me cry aswell (and I even work as a journalist), I sob like a baby from TV shows and movies, a seemingly small fight can hurt me deeply, and so on.

But, still I think it can be a really beautiful thing. It also means I easily get so happy that I feel the joy in every cell in my body, I get touched from music or from a starry night or a beautiful sunset. I can get so involved in books that the best ones can feel like a magical journey, life-changing. A child's laugh can make an otherwise dull day feel perfect. It sounds like cliches, but it's true. In other words - being very emotional makes the downs deeper, but it also makes the highs higher. It makes LIFE more real. So, embrace your good days! Do things you love, feel the joy of living when things are good. It is just as important as therapy, IMO.