Disclaimer: This is only my experience.
I was more awkward than usual when I first came out and started socially transitioning. I felt awkward about correcting people about my gender, but once I got used to that (with friends anyway), it got quite a bit easier.
At first, I reached out more to the LGBT community, but quite honestly, I just didn't click with most of the people I met in that community mostly because of personality differences. I ended up making a lot of friends at university and in a group I'm in. Some of them happen to be lesbians, some of them happen to be straight men, some of them happen to be straight women, and some happen to be bi. No gay men, but that's coincidental same as the other people's orientations are coincidental since we became over shared interests and not shared LGBT-ness. The point is, I made friends like a regular guy. I hope some of that made sense.
To be honest, my transness isn't really important to the friends I have now. Mostly anyway. There are a couple I need to keep correcting, but for the most part, they see me and treat me like a regular guy. Or as regular as one can see and treat a madman, but you get what I mean.