I belonged to the local UU church from about 1969 to about ten years ago, served on the Board three times, was the chair of most of their committees at one time or another. And Doug is right; they vary widely. Some are mostly atheistic; some are cryptochristian; some are very accepting of gays, transgenders, etc.; some discourage gays from becoming active. The Unitarians were mostly young non-theistic people in the 50s and 60s, but as the Universalists took over the ministers became more religious and they didn’t attract as many new members as they had, so the ones who are still there are now much older. At one time we had a transgender church administrator and now they have a gay one.
I suggest you check out all of the ones within driving distance of yourself, and find the one with, a) the youngest minister, b) the most liberal congregation, c) a decent ratio of younger members. Too bad you weren’t around in the 60’s and 70s. You would have loved it.
Oh, I just remembered. Check out their seven principles. They’re pretty good except for the third one which I think is rather crappy (modified in the 80s by a more theistic General Assembly).