Yes, there is plenty for them to do and see on this island! A short list includes swimming, snorkeling,fishing, surfing, kayaking, tennis, renting sailboats, horseback riding on the beach, exploring the caves, the cliffs, the ocean hole, the glass window bridge, dunebuggy ride to lighthouse beach, Here's a link to an article about what to do with your children on Eleuthera:http://www.adventuretravelmom.com/exploring-eleuthera-with-kids/.
Eleuthera is very rural and the island is 110 miles long. Taxis, which are fairly expensive, are the only mode of public transportation. If you want to explore, go sightseeing, visit other beaches, restaurants, etc., I would recommend renting a car. They cost about $65/day ($55/day if you rent by the week). Jeeps are $10/day more and minivans are $20/day more. Contact us for an introduction to car rental companies who have proven reliable.
There are two ATM’s in Governor's Harbour, so it’s easy to get cash. The resorts and high-end restaurants take credit cards, but the vast majority of local businesses take CASH ONLY. This includes retailers but also boat excursions, fishing guides,cooks, many car renters, etc.
U.S. and Canadian cell phones work on the island. Reception is quite good. You cell phone carrier will probably charge you international roaming charges, check with your carrier.
It’s not unusual for the power to go out once or twice during a week-long stay, but these outages are almost always brief—from 5 minutes to an hour—so don’t be alarmed if this happens. We have a back up generator. Power will come back on automatically.
There are two grocery stores in Governors Harbour that stock all the basics. There is also an organic farm in Palmetto Point. There is a large supermarket in Rock Sound and another even larger in Bluff, North Eleuthera. Also in Governor's Harbour there are 2 liquor & wine stores as well as Bacchus Fine Food and Wine if you would like speciality cheeses, meats and vintage wines.
During the day, mosquitoes and noseeums are typically not a problem. If they are present at all, they will come out at dusk and in the evening. Noseeums are a more frequent complaint on the island than mosquitoes. The best preventative is a pair of long pants and socks, because they go after legs and ankles. The evenings are usually comfortable, so you can wear long pants outside if necessary. The bite of a noseeum is not very bothersome, but don't make the mistake of ignoring them. If they are out, as soon as you feel the first little bite, put on your long pants and socks. Otherwise, if you are allergic to their bites, you will wake up the next day with many itchy bumps on your legs. Another popular preventative is generous application of baby oil or Skin So Soft through which the little bugs cannot bite.
There is a good medical clinic in the town of Governors Harbour. For serious injuries/illnesses, patients are brought to Florida or Nassau by medevac airplane.
Eleuthera has a population of just 8000, and everyone knows everyone. It’s famous for being safe. Locals and tourists alike routinely pick up hitch-hikers and leave their keys in their cars.
If you are concerned that you may need to cancel due to illness or family emergency, or a blizzard or other bad weather conditions at your departing airport, you should look into trip insurance.
The municipally treated water is safe to drink, but most visitors to the island drink bottled water to be safe. Also, many houses are not on the municipal water system, and may not have drinkable water as the water comes from a cistern.
In the Governors Harbour area, and for miles to the south and north, there is a large barrier reef that minimizes the surf on the Atlantic side of the island. North of James Cistern, the reef ends, and the northern half of Eleuthera has some world-famous surfing beaches with big waves.
Here’s a link to a web page with detailed weather water temperature info for Eleuthera by month: http://www.discover-eleuthera-bahamas.com/bahamas-climate.html