I like Perna's suggestion -- I am an introvert, and I find it challenging to make connections and sustain relationships. Joining a group puts the focus on a common interest or activity instead of on "meeting someone."

I also recommend this little book:

Personal Village, How to Have People in Your Life by Choice, Not Chance by Marvin Thomas

It gives very pragmatic suggestions. I procrastinate about following these suggestions because of my unresolved inner insecurities, but the complete game plan for how to get a nurturing life going for oneself is there, all mapped out, starting with the simple step of taking a walk around the neighborhood every day.

Good luck.