Counselling is a good idea but you have a lot on your plate at the moment so it may not be possible.
I am a cryer too. It used to drive my ex-husband nuts and so we stopped communicating and the marriage ended. I was determined this was not going to happen in my new (now three year old) relationship. I told Z I cry when discussing hard stuff because I can't help it but he needs to ignore it if he can and focus on what I'm saying rather than the tears. I find if I talk often there is less emotional build-up and so the crying is less.
Tell your husband that you need to be heard and not fixed. The fixing can evolve later. Just start by asking him to listen to you and hold you without commenting.