Yea, I already did a search to find centers in my general area and noticed that the ones that don't offer LGBT services are primarily in "major cities" -- thing is, the only services they list are "resources" and "services referral" which, really, is very vague. Hence my questions about these services and resources.
The one right in my town, a few minutes from where I live, is listed as offering these services which is why I was considering stopping over there to find the answers for myself (something I wouldn't be able to do until next week).
I've always seen them as primarily sexuality-focused, and perusing their site again nearly all of their services are more sexuality-based than family-based (i.e. few services outside of sexuality, and nothing really for "families" past pregnancy -- no pediatric services or anything and, in fact, they don't even provide childcare). Even had I known they offered more general health testing and exams (as stated, never had a reason to look into them or seek their services) I wouldn't have thought they did anything with TG/TS as it often seems to be the exception of sorts.