Any suggestions on drink orders for someone that just turned 21?

I’m finally old enough to go out to the bars, and not get left behind! (Hooray!) Unfortunately, I’ve found that I know very little about ordering drinks, as my undergrad days have left me drinking whatever is available at the time.. but now there are so many options, I don’t know where to start.

So, what do you suggest? Any favorite drinks? (I’m female, if that influences your suggestions at all)