Well, that was not very successful. I went into my Settings menu, whose icon has had a number "1" sitting on it ever since iOS 6 was launched, into "General, and then to Software Update. It checks for updates, shows iOS 6.0.1 as being available, but he "download and install" button is greyed out. I think it's because I don't have enough free storage on it. It says it needs at least 2.5GB, but mine is almost full.