On the autograph thing, I've never been to training camp, but I did hit spring training once. For the most part, the guys most willing to sign were the minor leaguers and the younger fringe players. The stars would jump into a tinted out SUV or whatever and blast through the parking lot. The younger guys spent a lot of time engaging.
I'm not sure if you have this as much with football, but there were a ton of adults trying to get signatures who very clearly intended to sell the memorobilia. I would be annoyed by that and wouldn't sign, either.
By the way, Flippy, thanks for the camp reports.
I probably wouldn't sign either. But I'd talk to the kids and pose for pics. The adults trying to get autographs seems kinda silly to me.