I don't want everyone holding my baby

Hey guys. I just had my baby last Wednesday and I was thinking about when he finally get his shots... it'll be a couple days before Christmas and everyone will be dying to hold him. I don't wanna be rude but I don't want everyone on Christmas wanting to hold him. We have a large family because we all go to my grandma to celebrate. I know as soon as I get there, everyone will be wanting to hold him. Don't get me wrong. He can be held but my family will pass him from person to person. How can I not be rude and express it when Christmas comes?