What should I say to politely refuse when I'm asked for my address?

My birthday is coming up, and since I was told I'd be getting a birthday present, I told him what I wanted. Because my papa's work schedule means we can't meet around my birthday, he said he could mail it to me and asked for my address, but I'm scared to give it to him. My papa is the type to say, “I want you to trust me,” so I'm worried that if I refuse by saying I'm scared, he might get upset. I've heard of cases where a papa became a stalker even when the girl trusted him, so I still want to keep a certain amount of my personal information private. Could you tell me a good way to refuse when someone asks for my address?