Leave well alone
The swarm are still in the hive, and there are still bees holding their waggling abdomens aloft at the entrance, and, as far as I can tell, eating some of the mountain of fondant we left for them. Assuming they decide to stay, they now have a busy time ahead as they set up home in the new hive. Of course, I'm fighting a huge temptation to go and fuss over them, check their food, take off the crown board and peek into the hive, and so on, but they must be left alone until they're fully settled and comfortable. That means that for the time being, all I can do in the way of 'inspecting' the bees is to do what the cattle neighbouring the apiary do — stand back and watch them flying in and out of the hive.