There's really no reason to out yourself during the
face to face interview process. If you do, there is the risk of the employer thinking, "Well why did they bring that up? Are they distracted by being trans? Will it affect their ability to work?" That last question serves well to make getting any job harder.
So, your #1 goal is to prove that you are
competent for the job. Same task as everyone else because even though we are trans, we are just like everyone else. I've talked to corporate HR on this issue and the manager of a board/card game store I do some side work for in prepping a lecture on this subject last year and
competence, is in great demand to the point it trumps all.
Naturally, you will want to clue in your references so they know who they are being contacted about. Background check, there do I recommend offering the old name under, "Were you known by other names?" no matter how thorough you are in changing it. Too many poorly maintained databases are between you and complete stealth.
If your name isn't changed yet, as mine wasn't for a while, you can have a resume with your name because it's not a legal document. You can use your name in interviews too. Same as someone being named David going by Dave. But when you encounter legal forms, time to whip out the legal name.
Another thing to remember is there is nothing wrong with being trans. It's only problematic if you assume a prospective employer will discriminate against you cause believing you will be discriminated against with no proof that the company you are talking to will do it, is like talking to someone new with, "This person I'm talking to is a jerk!" in your heart. People pick that up pretty easily, and are put off by it. Give them the opportunity to be awesome, then deal with it appropriately if they prove themselves not.
Good luck out there!