im job searching right now myself.. im fulltime and mostly passable. However my name is still the same on my ID and so is my gender. I wouldnt go ahead and tell them your transgender, your just bringing it to light, and your making a big deal of it by bringing it up right away, like its some kind of deterrant. Just pretend your normal as best you can.. Dont ask to be hidden away then they feel like they would be hiring someone that they need to keep hidden, thats a major deterant from any job.
I wouldnt ever say anything if my ID was correct, but once they run my social security number I think they can figure it out pretty easily.