I just got back from a very successful meeting with a new client. It was actually a very enjoyable experience. Not that most of my meetings with clients and prospects aren't enjoyable, I just always feel a little tense before meeting anyone for the first time.
I always find meeting new people somewhat intimidating, especially when that meeting necessarily involves negotiating a price.
But I've found that it's much easier to make a good first impression if you just assume whomever you are meeting already likes you. If you act with confidence and have good posture, that can make all the difference. Say what you mean. Get to the point. Focus.