dukes, I've no idea of your experiences so can't help you choose which to use and how to present it. However, some useful pointers would be:
a) Focus on the positive side of the experience whenever possible.
b) Balance the wish to sound like a good team player with the possibility of sounding arrogant / exaggerated. Eg: choose a rather small example from your everyday work rather than presenting a story of how the whole company was falling apart until you stepped forward and saved the day.
c) Try to show how you understood the other person's motives and act upon them.
d) Don't use an experience with and open end (eg: so we are still fighting on a daily basis with this person and it's becoming unbearable).
e) Don't use an experience where you had to raise issues to a higher authority for them to be solved.
Hope it helps. L.