Some very good suggestions made by others here.
I would add a couple of other thoughts.
One is - it may be important for you to continue to see medication as part of the solution to managing your illness. For some reason in our society, if someone has a chronic medical condition such as diabetes or heart problems, we don't have an issue with needing to take medication on an ongoing basis to manage it. For some reason though, when it comes to mental illness, we have the idea that we ‘should’ be able to manage without medication and that developing non-medical management strategies is the goal.
The second is - I wonder what work you have had the opportunity to do re processing your emotions - that is, what are you getting emotional about? Sometimes when we have been through difficulties earlier in life, we have not had the chance to process the feelings associated with that experience (for example, experiencing trauma or grief due to abuse, neglect or loss), and in order to survive we push the feelings away to get on with the business of living. Later, those feelings tend to hang around needing to be felt and processed. If this is the case for you, you may consider working with a psychotherapist or counsellor to make sense of your intense feelings. Having the opportunity to work through unresolved grief or trauma may result in you becoming less intensely emotional in response to everyday things.