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.
The no-see-ums were really bad the first two nights, but then it was pretty windy so they weren't a problem. House flies were not deterred though! We had to keep screens in most of the time--they block some airflow and make it tedious to go in and out. We made a habit out of taking Louise to the beach by the marina in the late afternoon. She would chase the tennis ball and I would look for beach glass. The first time we went to the beach Anna couldn't find her phone when we got back to the boat. So we went to the beach to look, and eventually I found it about 18" below the surf. It still worked...for about two days.
I read six books in six days. We did lots of crossword puzzles. We watched the Vikings play (and lose) at the Thirsty Turtle, a bar a five minute walk away. They had a pizza oven but were not able to get supplies to make pizzas before we left, still in the process of opening after renovations. The marina had a new owner too.
One of the other boats in the marina was SV Twin (that we had crossed paths with as we approached Bimini) and they have the same model of boat as us. This was the first time we had seen another one (excepting the one we looked at in Port Charlotte, FL when we were boat shopping, and one that we saw in passing at the marina where our boat's previous owners kept our boat) so we had a lot of fun touring theirs and showing them ours. There are so many interesting differences!
For internet connectivity we could use the Wi-Fi at the marina office or at the Thirsty Turtle. And probably half of the days I would take my phone out of airplane mode, resulting in an automatic $10 charge for 24 hours of great roaming connectivity (set up with Verizon ahead of time, some people were doing the same with AT&T too). We had a Wi-Fi hotspot device with unlimited data waiting for us at Great Harbor Cay so we were looking forward to getting that.
The marina gave us a prorated price of $150/7 for our eighth night there and the next morning we departed at sunrise for Great Harbor Cay. It was 80 miles to travel and we were going straight into a 10-15 knot wind and two foot waves. Sometimes the bow would slam on a wave and Louise would get really scared. Into waves and wind is not great for speed and it was a long ways so we ended up anchoring in the dark at 10:30pm. It was an easy approach and a wide open area to anchor so not too bad.