Oh whoops, I totally forgot to reply yesterday. You shouldn't need to worry about explaining why you need to transition; this is what she does, so she already knows all about it. Honestly, it always felt like she was on my side whenever I talked to her. The entire staff was quite friendly as well.
I paid $105 for my checkup last month, though there should be an additional $20 or so for a new patient. I don't know exactly because the prices have changed since I paid mine.
I think there are something like 30 trans people that use them for hormone management, but that is only a small part of what they do, like it isn't even advertised anywhere. Are you worried about people following you or what, because then it might be suspicious looking to anyone that knows you because it's mainly a women's reproductive health center. I think I remember there being an option about them referring to themselves as Choices or something generic in all correspondence so you might ask about stuff like that.
I'm not a good yardstick if you're trying to continue presenting as male, as I've dressed entirely female full time even before I realized I was actually transgender. As for what changes I've seen, there's been slow breast development for several months, my face has softened and thinned, my waist to hip ratio has changed to even more hourglass than it was (I'm only 5'4", 115lbs or so), and I cry at random stuff a lot more often. I haven't really seen any change in skin quality, and I still don't have nearly as much boobage as I want; like I can roll my shoulders back and they basically disappear. I also haven't seen much if any change to body hair growth, which is disappointing, and I can't afford to do anything else for that either.
But the best part is the calming effect, which I'm not sure is just a placebo or truly relieving the dysphoria, or both. Now most of my stress comes from all the other junk in my life instead. So I hope some of that helps and you are able to get it worked out.