I am a big fan of Weisbord and Janoff, creators of Future Search, and learned much about facilitation when I took their training. Their new book Lead More, Control Less applies their years of experience to leadership, and offers great insights.
One of their concepts is how to handle one’s anxiety when leading meetings. Often we try to rush to solution or tell people what to think. Stating the obvious signals you’ve heard people and actually eases your own anxiety. It also eases anxiety for others. State the obvious and pause. In my experience someone will come up with the next step for the meeting.