Be aware that early February can be quite cool in the Bahamas. Great for walking and sailing but the kids
might not want to do much swimming. It can also be very windy for days at a time, so plan a marina with good protection.
While the Abacos can be cooler than farther south, I don't find it that different and Abaco
has much better air service
I would vote for Bluff House on Green Turtle Cay. Great for kids. Large pool right next to the bar/restaurant. Very protected marina. Rent a golf cart to ride into the fun small town. Wonderful beach and beach bar on ocean side of resort. Well above average food
Several nearby islands are also great picnic lunch spots to take the boat with the whole gang.
Fly into Marsh Harbor or Treasure Cay. Take 5 minute taxi from Treasure Cay to ferry dock
. 15 minute ferry
right to the dock
of Bluff House.