Our parents are meeting for the first time, what should we do?

I've been engaged for almost a month now and since my fiancé's parents live out-of-state, they let us know they'll be coming to town for a visit. We're going to introduce both sets of parents to each other, and I'm probably thinking too hard about how to organize this.

While dinner sounds fine, I don't want anyone to be uncomfortable when one person reaches for the check at the end… I also have a tweenage moment thinking they are just going to totally embarrass me. We're also dealing with different education backgrounds and I'm not sure what they'll talk about. I really want this to go well (first impressions and all), especially since afterwards my fiancé and I will be approaching our parents about helping with wedding costs. Any suggestions/ideas/personal experience or other tufts of wisdom to share? -romanholiday

The biggest thing to remember with anxieties like these is that (in most cases) all parents involved are adults, and don't want to embarrass themselves any more than you want to be embarrassed. You can do your best to encourage conversations towards issues the sets of parents might have in common, but ultimately you just have to let it happen.