11/20/2012 at 11:15 AM EST
"He eats like a horse."
That's proud dad Bill Rancic describing his baby boy
's appetite on the Today show
But it wasn't long ago that Rancic and his wife Giuliana had no idea how their son Edward Duke, who was born via gestational surrogate
on Aug. 29, would take to the bottle.
In footage from Tuesday's episode of their Style reality show, Giuliana & Bill
, the brand new parents find out.
"First feeding ever. He's taking it okay. I think he likes it," Giuliana says as she gives her baby his first bottle.
"This kid is like super chill, man," observes dad, who's holding the camera in the hospital room. "How does it feel?"
"It feels good. I feel like I'm not nervous at all," Giuliana says. "I feel like I can take care of him. I expected to be more nervous and more flustered like I had no idea what to do but I feel like totally at ease. It's kind of amazing. I just feel like I know what he needs."
The couple shot the entire episode because they wanted to share their family's most special and intimate moment with viewers and fans.
But even though their show has documented their happiest moments – as well as their struggles with infertility
and Giuliana's miscarriage
and her fight against breast cancer
– they say have not decided whether Edward will grow on up on reality TV.
"Whether he lives his life with the cameras on or not is yet to be determined," Bill told Today
's Savannah Guthrie. But for now, "We felt we owed it to all the people who have been on this journey with us to show them that hey, one in six couples struggle with infertility, and if you stick with it and never quit, it can pay off."