If your sure that there is no way for the two of you to reconcile, my first piece of advise for you is take those rings off. I just recently started a relationship and she still wears the ring from her last relationship. She says its b/c she likes the bling but it makes me feel cheap. It makes me feel like she has a bond with this other woman that she doesn't want to break and the ring is a constant reminder. Don't put yourself back on the dating scene until you can heal your heart a little and please don't put another girl in a position that she feels like she needs to live up to the standards of someone else. That is not a good feeling either.