Yes, use a tripod for the steadiest shot. But, if it's a clear night, it will be a relatively short exposure!
A good start for the full moon is the normal daylight, "sunny sixteen", rule. After all, the same sun that lights the earth from about 93 million miles away is doing the same to our moon!
Since your longest focal length is only 200mm, you might want to combine images for a sequence of the moon as it moves across the sky. If you take an exposure every ten minutes, it will have moved about four or five diameters. Include some recognizable feature on the ground, make sure your tripod is locked in place and you should have a great souvenir of your night with the Supermoon.