Bee Keeping

I always thought one day I would take up bee keeping. Ever since I read Virgil's Georgics in grad school. And I've consistently kept my eye on equipment and where to find bees. I never expected that bees would find me. I spotted a few outside the kitchen window about a month ago before I left town. Then the next time it approached a swarm. And now there are hundreds upon hundreds, especially in the late afternoon flying around in the shade of a trumpet vine a few feet from the Dutch door in the kitchen. I expected there would be a hive, the sort you see in Winnie the Pooh, and that I could just ask the bees for some honey, nicely of course. But no, they're in the wall. I put my ear up to it, and it sounds like the roar of a jet engine. Clearly thousands of bees busy making honey, flapping their wings to cool the Queen and do whatever it is bees do in their spare time. This is a whole city of bees, replete with a mall, supermarkets, even an airport. My first instinct is to live happily with them, but apparently the hive continues to grow and it's not at all good for the house. And there's no way to ask for honey politely if it's in the wall.  I'd definitely rather not kill them, given the status of honey bees in general. Does anyone know if they can be moved? Or if there's a way I can live with them? Or even transfer them to a conventional frame-hive? Or convert the wall somehow???