I know I'm in the minority here, but I advise against coming out.
A wise person will only transition to the extent required to make the dysphoria quiet down to a tolerable level. At this time you don't know what that point is. Comparatively few transwomen go for the full transition with SRS, and name change.
Coming out raises the spectre of a rapid and full sex change. The people you tell will assume you will become a woman in short order, wearing dresses, makeup, wigs and dating men. They may be unable to distinguish between a transsexual and a drag queen. In fact there are more moderate solutions that may be quite suitable for you.
You may find that small measures, such as better grooming, removing body hair, growing out your fingernails and perhaps clear polish, low dose estrogen etc. are satisfactory to you.
For example, my typical summertime attire is a polo shirt, shorts and either sandals or women's Nikes. Plenty of women could wear the same thing with no questions asked. I wear men's underwear, but without the fly-front, so it feels more feminine to me.
You can accept that you ARE a woman, but are acting out the role of a man. I'm not suggesting that you deny your true self, only that you not alarm your parishioners and family un-necessarily. The changes can be subtle and can take up to a decade. A lot can happen in that time span. Baby steps are the best for most people.
Randi