We tend to like Leverick for 2 nights. Especially at the dock. We usually go around the middle of the trip if we can help it. That way we can do things like re-provision, laundry or shop between excursions on the island like going to the Bath's, Coppermine or meals out. We always make sure to have one meal at the upstairs Restaurant and last time we actually were lucky enough to be there for the Friday night Barbeque as well. Being at the dock is a nice change as well so we can easily go our separate ways when need be.
All of the above being said, you cannot go wrong wherever you decide. Pick a favorite spot and hunker down doing the things you like to do.