For White, the Ruy Lopez is your `e4` opening. It allows for rapid development, early castling, and a nice tactical game. For your `d` opening, a good ole Queens Gambit is hard to beat. You'll also need to learn 2 openings for the Black side. I like a King's Indian in response to `1. d4` and a Robatsch for `1. e4`. They're all good in the beginning, however, so read up on some and learn the points of a few openings. Try them to see if you enjoy the positions that result. There's really no such thing as a simple opening in chess. All are loaded with gotchas or nasty traps, ready to snare the complacent.