Start with smaller events such as one of the many free meetups that happen all the time. It's much easier to get talking to people at these.

I would also say that you are not alone in finding social situations like this difficult. I think a lot of web designers do. You are almost certain to meet other likeminded people at these smaller events.

Give it a try. It is worth the effort. You will come away encouraged, motivated and you are guaranteed to learn something new.