The great thing about dating women is that we're (well, 99% of us) great communicators. In my experience, we don't play games. We're pretty direct when dating. "Hey, I had a lot of fun tonight but I'm not feeling a romantic connection." That's fine to say and unlike with men, is not met with things like "I didn't like you anyway" or "Good b/c you're ugly and I can't be seen with ugly."
Also, be prepared to stay friends with lots of women you go on dates with. That's not uncommon at all.
And finally, being more direct and open will probably work out in your favor as a baby gay. Older, seasoned lesbians can be weary of women who are newly out. Are they really out? Is this a game to see if they like playing on the other team?