I know a lot of people use it for hook ups, but I've had a lot of great conversations with girls on Tinder. Being trans was actually not an issue for me on there at all, as it is on most dating sites.
I know there are trans specific dating sites if that is what you're looking for. I've never used them, so I can't speak to the quality, but I know they exist. I'm sure if you google transgender dating, you'd probably find them fairly quickly.
And if you're on Facebook, go take a look at my thread regarding Facebook groups. I'm a member of 2 that are more oriented toward dating or getting to know other people and I think they're pretty swell.