You may want to get yourself into therapy to work on why you lied and had the affairs to begin with..What makes you think that you would respond any differently were you back together?? You may think that wouldn't happen again, but I'm pretty sure there was a time when you thought it would never happen in your marriage.
Work on you for you and get to the root of your own behaviour before you try to get your wife back.
For what it is worth, trust takes a long time to get back in a relationship if at all, don't rush things.
