Do you wear both your engagement ring and wedding band beforehand?

For those of who aren't married yet.. Do you personally wear both your wedding band and engagement ring, if so on which hand? I've read so many different things on this topic, was just curious of your own personal routine? I was under the impression initially that the engagement ring is worn solely, on the right hand until the wedding day. Then once the wedding happens both rings are introduced to the left hand. I do remember that this can vary culturally too.