I'm the same way actually. I just let things happen naturally.

I met my husband when we lived in the Salvation Army shelter. He was in men's dorm n I was in women's dorm, but we all ate together. He saw me and decided to sit next to me. We just struck up a general conversation, the end of it was "would you like to go to the mall with me tomorrow?" I said ok. That was our first date. The next one was to the book store. We never really bought anything other than maybe some sodas and a cookie or something, but we talked a lot and got to know each other better. Those two places actually became our favorite spots even later. Sometimes it just takes saying "hi, how you doing?" and then the follow up question of "what you got planned for the day?" to kick start things. Very general, easy flowing, non-threatening conversations.