Hi Eric, what you need to do this is to consume a ByD Web Service, this is like a door and you can use it to put or pull information from ByD, once you have this, you need to implement a method in your web site that send the information to the ByD WS.
Actually it's not that complicated, if you're interested in do this please let me know and I'll be happy to help you in what I can.
All the best.