Hey everyone, I'm hoping for a bit of advice.

I'm not fully 'out' yet about being trans, although family and close friends know.
I've been given a tentative job offer and I'm wondering what to do about my name. I've also got a 6 month probation period to get through at a government job, which means more protections for being trans down the road.
I've worked in my profession for many years and people know me by my female nickname and legal last name. I applied for the job with my legal given name, which is also very feminine. I've been introducing myself to new people the last 6 months or so with a gender neutral version of my female nickname, and wondering if I can introduce myself and get my e-mail, business cards, etc with the neutral name... or just go as is with the female nickname everyone knows me by, and wait till I'm through the six month probation period to come out with the gender neutral nickname.
I won't start T and do a full legal name change (including the gender neutral nickname) till I'm through probation, I don't think. This job means relocating to a different city, and there will be e-mails announcing me to our profession in my province and I will work with the public a lot, some folks I know and other industry folks that I don't know. I'm just thinking it would be strange to go through another round of introductions and more questions in six months' time. I am probably changing my last name too when I go through the name change, for various reasons.
Will it raise too many questions about why I want the other nickname right now? Does it matter? Am I overthinking this? I probably am.