We spent a week and a day on South Bimini until the weather was right to sail east. On the first day I did customs and immigration at the airport in the afternoon. Then we started meeting all of our new neighbors; about 12 boats had arrived to the marina with us that day, and it was almost empty previously.
We spent some time marveling at the comically clear water. It was about 10 feet deep around the docks and we could see perfectly to the bottom. There were lots of minnows, plenty of 6" fish, and even some 12-18" ones.
The first or second day we went to North Bimini to see what it had to offer. Louise came with to help. The dinghy parking situation was not that good, just an aluminum swim ladder on a beat up concrete wall, with the east winds making some weird little waves to push our dinghy into the wall. We walked around for about an hour. Very interesting. There was what appeared to be the power plant of the island, which I think was just a large diesel generator. It makes sense that the marina charges $30/day for power, and we have seen some that have meters and charge $0.80/kWh (4-8 times what you might pay at a house in the US). There were some grocery/convenience stores, some just small rooms absolutely packed full of packaged/canned food and some with a little more organization and potatoes, onions, etc. Most prices are double that of an average US grocery store.