Depending on state laws, you have transition to a certain point to be considered a legal male. Where I lived, it was being on HRT and having had a mastectomy. The laws change be state, so that is something you will need to ask or look up.
Once you can be a legal male, get your social security card changed with your new gender and name. Once you have that, you can get your driver's license changed and other forms of ID. The birth certificate change is helpful, but you don't necessarily need it unless you are getting a passport. I've gone twenty six years without having it changed and am in the process of that now.
Until you get proof of legal gender, I'm afraid you will have to put your genetic gender on paperwork. Transition is a process. Part of it is physical and part of it is all that annoying paperwork.
Head up.
sam2