Lots of great stops but Georgetown Great Exuma is one of my all time favorite harbors. Small town attitude but large enough for good stores, food restocking, local restaurants, etc. But not so large that you get big town crime and worries.
The area has a number of cool places to anchor and is a good launching point if you want to go the less visitied Out Islands. Also direct flights to Miami if you need to get home or have guests fly in to meet you.
Look around and you can find a beach where you see not a single foot print or drop into the local bar for a little camaraderie.
Plus local hotel has one of my favorite names for a tropical destination, the Peace and Plenty.