June 17, 2014 11:00 AM

Jason LaVeris/FilmMagic

Being Halle Berry requires a lot of multi-tasking.

As the star and executive producer of the new CBS drama Extant, the Academy Award-winning actress’ schedule is packed with meetings with her fellow producers and quality time with her children: daughter Nahla, 6, and 8-month old son Maceo.

“I love having my kids there [on set] because I am nursing my baby. To have him there is great for me,” Berry, 47, told PEOPLE at the Los Angeles premiere of her new show on Monday. “I love being involved all day.”

And Berry isn’t the only one who loves being involved.

“Every morning I can lose myself just by looking at my son,” her husband, French actor Olivier Martinez, said recently in an interview printed in German Grazia magazine.

While Martinez, 48, says that becoming a father has been the biggest adventure in his life, he has different feelings when it comes to tabloid rumors that his marriage to Berry is going through a rough patch.

“That’s bulls—,” says the actor, who spent Monday evening arm-in-arm with his wife. “Sometimes you have to laugh about what gets published, sometimes it’s annoying, but in general I don’t care.”

Martinez insists that most of the stuff he reads about himself he never actually said. “That tells a lot about my life, doesn’t it?” he says.

He insists that the view that the public has of him “isn’t really me. Just being famous feels cheap to me,” he says. “In Hollywood you can live alongside very famous but still incredibly boring people. I’ve never wanted to be immortal. Even if nobody remembers me after my death, it’s still okay with me.”

“Except for those I love,” he adds. “What I am trying to say here [is], I’m only traveling through, just like every other human being.”

But Martinez isn’t traveling alone. Though he will be spending the summer in Mexico filming the upcoming History Channel miniseries Texas Rising, Berry was overheard saying that she and the family plan to visit him.

RELATED: Halle Berry Ordered to Pay $16,000 a Month in Child Support

— Patrick Gomez and K.C. Blumm

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