First off, it couldn't hurt to try and imagine how much fun this will be. If you can relax enough to let your imagination run wild, it'll get you revved up for the big night. Second, I agree with vjklander about booking a hotel room. It's neutral ground, and if you have a hot tub, it's a great excuse to get everyone naked and helps get the party started.
Either way, have yourself a glass of wine and try to relax. Both men WANT you and are on board with this. What could be a more powerful and sexy feeling than that? Having done MFM, I can honestly say there isn't much else that is (so far).
As for introductions, they pretty much will know who each other is anyway so that probably won't be necessary. Then again, I've introduced myself to a play partner (one that I already knew) in the middle of playing, just to be silly.
~Mrs. Sweet =)