I chose the more pleasant of our two surnames. Mine was a Germanic sputter and his a delightful airy-fairy nature-esque name reminiscent of hillsides and heather. Easy choice.
Georgeson sounds a bit like something out of Blackadder IV, a commander insisting he must be known as Georgeson-son-of-George or something. Johns is short, sweet and punchy.
Personally, I'd say go for Johns, regardless of whose it is obviously. It's just snappier.
John's Georgeson sounds like John has a nickname for his tackle, so definitely not that, and Georgeson-Johns sounds like you're still recovering from dental anaesthetic. It also, hate to say it, does sound a bit try-hard in the posho sense. Like on the Titanic and they ask "Oh, delightful, are you connected to the Boston Georgeson-Johnses?"
Right, reading the whole thread - yours is Johns. So now I'm leaning to you saying yeah, sorry, the kids are being Johns and they can have Georgeson as a second middle (they're as likely to use or drop their middle names as they are their clunker of a double-barrelling. Georgeson of George should get used to it.) Marrying and combining all into Johnson is also a nice idea.
But also, I get easily riled up, and there's nothing like a grumpy archaic bloke insisting on his name 'because tradition' that makes me want to flip him the finger.