My trans friend Drew says that when he was applying for jobs before his legal documents were changed, he did the following:
He put his legal name first, and then his chosen name in quotes after it. So in his case he put "Angela ("Drew") [last name]"
Whatever you do, don't make a big deal out of it. Don't ask for special permission for everything, don't volunteer any information about being trans that they themselves don't ask you. If you don't make a big deal out of being trans, there's a much better chance that neither will they.
I learned this lesson the hard way. I made a big deal out of being trans when I started at my last job, asking special permission from the manager to be allowed to have my hair longer and keep my earrings in because I'm trans, and planning on transitioning, and 90 days later once my probationary period ended I found myself thrown out the door for no adequately-explained reason and with no warning whatsoever.
Just roll with it. If they ask, be honest. If they don't ask, don't tell them.