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Duke Rancic

Courtesy: Giuliana Rancic

Giuliana Rancic has her baby son with her at all times.

No, the E! News host is not bringing 1-month-old Edward Duke to places like the Emmys red carpet, but it's not often she doesn't have her eye on him.

"In our house in L.A., we've got cameras in his room so can watch him on our iPads anywhere in the world—with audio!" daddy Bill Rancic told me the other day while promoting the launch of the new Citi Hilton HHonors reserve credit card.

"My buddy who does a lot of real estate in Chicago wired the whole house. We just click on our iPhones or iPads and we can see him."

As we first told you, little Edward Duke's first plane ride was a chartered jet the family took from Denver to Chicago shortly after he was born.

"It was really good," Bill said. "His first flight not too bad, right? He got to fly in style. He was very cool. He didn't cry at all. He's a cool customer. He was very content."