George Clooney is a megastar, married to another megastar Amal, and they’ve found that the glitz, power and glam comes with a stiff price. This week, the Catch-22 star opened up on The Hollywood Reporter‘s Awards Chatter podcast, discussing how scary life can be, now that they also have Ella and Alexander, their almost-2-year-old twins to think about.

“Everything changes when you have two kids on how you have to protect them,” he shared. “My wife is taking the first case against ISIS to court, so we have plenty of issues — real, proper security issues — that we have to deal with on a fairly daily basis.”

He added: “We don’t really want our kids to be targets, so we have to pay attention to that.”

Amal, a human rights attorney, has been tasked by the U.N. Security Council with the prosecution of Islamic State extremists in Iraq and Syria for sexual misconduct, the AP reports.

Amal has also been defending former Maldives President Mohamed Nasheed, who is claiming false imprisonment by a government that has a disregard for human rights.

Clooney says he and Amal miss the simple things most of us take for granted. “I miss some of that anonymity. My wife and I wanted to walk our kids in Central Park, and that’s just not possible,” he explained on the podcast. “We tried, but we walk out the door and everybody surrounds them. And there’s a bounty on my kids’ head for a photo, so that’s something that we are very conscious of.”

Still, he knows he has it pretty good.

“I have a pretty good life, right? I have a beautiful wife and two beautiful kids, and I get to work on things I want to work on, and, I have to say, most people don’t get to do that, I’m well aware of it,” he shared. “We live our lives. We don’t hide in corners.”

You can see George in Catch 22, currently streaming on Hulu. He stars with Christopher Abbott, Hugh Laurie and others. George was also the director.