You may want to start by going to a wine tasting. Not only will you get to taste several different types of wine, but you'll learn a lot about the background/history of the wines. You also don't just drink wine, there's more to it than that. You'll learn what foods to drink it with, and how to get the full flavor out of it. I bartend a little here and there, and have poured/drank many a red wine.
Mark
