A rep for Stamos tells PEOPLE mom and baby are happy, healthy and home from the hospital.
“Are you sure that’s our baby?” Stamos asks his wife, who replies, “Of course I’m sure!”
“I thought he’d have better hair,” the actor says. “He does have your eye.”
The Disney super fan and new mom captioned the cute clip, “Our son Billy is clearly taking after my side of the family ??.”
In an emotional December Instagram post, Stamos remembered his late father as he wrote about becoming a dad. “I will certainly fall short of the father my pop was, but – I’m going to give it my all! #Balance #BillStamos#Hero,” Stamos captioned a throwback picture of the two.
The actor previously told PEOPLE, “It kills me that my parents aren’t here to be part of this, but I know it probably wouldn’t be happening if they weren’t up there.”
“You know how you put your father on a pedestal, and he’s a superhero, and then as you grow older, you go, ‘Ah, he’s just a man’? I never got to that point. Till the day he died, he was bigger than life to me.”
“I always wanted to be a dad. Clearly I had to do some work on myself first,” the actor said. “I have a youthful thing. People say, ‘Oh, you look young.’ You start believing you’re gonna live to be 150.”
He added, “And then you wake up and go, ‘No, man, this is it. This is not a rehearsal.’ … People would say, ‘You should have a child.’ I was like, ‘That ship has sailed.’ ”
But Stamos said he felt prepared for parenthood.
“I’ll be a fun dad. I’ve been practicing for a long time,” he told PEOPLE, joking, “I’ve done every schtick you can do with a baby on TV … all the bits and jokes and diaper gags. I’ll probably just do all that stuff.”