John LegendandChrissy Teigen‘s daughter Luna Simone has handled the first few days of being a big sister like a pro, even if she’s determined to make sure dad and mom don’t forget who’s No. 1.

The 2-year-old toddler has been adjusting to the idea of having new brother Miles Theodore — born May 16 — at home, Legend told PEOPLE on Monday night from the red carpet of the Egyptian Theater in Hollywood, California, where a “For Your Consideration” Emmy event was being held for his starring turn inNBC’sJesus Christ Superstar Live in Concert.

“[Luna’s] used to having us to herself,” Legend, 39, said of he and Teigen, 32. “I think she’s just starting to realize though that he might be competition. So in some ways it’s good because she’s stepping her game up. She’s being more loving, she’s singing louder, and dancing harder. She’s making sure we don’t stop paying attention to her.”

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Luna may have some adjusting to do, but Legend seems confident she’ll get there.

He’s more concerned with the responsibility that comes with raising a son in the wake of the #TimesUp and #MeToo movements.

“So I’m going to try to do that with [Miles],” Legend added. “I’m going to try to do that with [Luna] as well. But it is a special challenge right now raising a young man.”

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It’s been a busy few months for Legend. Miles’ arrival comes over a month afterLegend’s acclaimed turn as Jesusin composerAndrew Lloyd Webberand lyricist Tim Rice’sJesus Christ Superstar Live in Concert.

“It was a new experience for me,” he said, looking back on the show. “I’ve never done anything exactly like this before. I’ve been in musicals when I was in high school, but never anything this big and never a character or a role that was this big. So that was really a special thing for me to do and a big challenge.”

“Part of it is just the thrill of having done it with such a great group of people and have it be received so well,” he added. “That was something that was really special. And now I’ll be, always have that moment when I was able to play Jesus in front of the whole country and the whole world, and have it received so well. I’ll never forget that moment.”

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Meanwhile, besides becoming a father of two, the Grammy and Oscar winner just dropped his new single — “A Good Night” — which he performed on Sunday’s Billboard Music Awards.

From the red carpet of that show, which was Legend’s first appearance since Miles’ birth, he toldE!‘s Jason Kennedy why he and Teigen settled on the name.

“We named our first daughterLuna Simone Stephens; every name we give to our kids I think will have a little bit of musical history to it,” Legend said. “So Miles is, of course, is the same name as the great Miles Davis.”

source: people.com