UC is on the right track with looking at the most popular baby names. However, I would advise looking through the list of your year of birth, in your area/state/province. Or maybe a few years later, to sound younger, or something? But having a name that's super popular among children right now, as an adult, is fairly strange, trans or not. It makes people chuckle. I don't have an English example, but think of a name popular in 15-year-olds, and imagine yourself reading it in the newspaper, and then looking at the picture of a balding, grey-haired man.
I would suggest looking at the top 100, too. Going for the very most popular ones (say, the top 10?) raises another issue: you feel so, so ordinary. Over here, Kevins, Michaëls, Catherines... They've all lived the experience of having 1, 2 or even 3 homonyms in the same class. None of them described it as a very fun experience. (Funny thing, there were two guys in my class with the same first AND last names. One got a nickname, and the other was just "not-<nickname>".)
Personally, I chose a name that was really popular (reached the very top) in the late 1990s and early 2000s and still is to some extent (its rank is falling; currently below 44) but was only starting to get popular when I was born, 21 years ago, so it makes my parents look like they were somewhat avant-gardist. That wasn't most of my decision, but looking into it afterwards, I don't dislike that.
(As for the list... Yes, I'm still not used to how bad most English names sound to me. xD)
Rita: Uhm... All right. Looks like it truly is diametrally different.