Arie Luyendyk Jr. and Wife Lauren Reveal the Special Meaning Behind Daughter Alessi Ren's Unique Name

It’s been a week sinceArie Luyendyk Jr.andLauren Burnhamwelcomed their first child,Alessi Ren— but they still can’t get enough of her.

“The first few nights were obviously rough,” the formerBachelor, 37, tells PEOPLE in this week’s issue, out Friday. “We are learning, but it has been really exciting. We aren’t really getting any sleep — probably because we can’t stop staring at her.”

“I am obviously really glad the pregnancy part is over and so happy to finally have her,” Burnham, 27, agrees. “She is the sweetest thing in the world and I can’t stop staring at her.”

Jennifer Maule

Arie Luyendyk Jr., Lauren Burnham and daughter Alessi.Jennifer Maule/@griffithimaging

Burnham tells PEOPLE that the couple decided on the unique moniker way back in December.

“I was obsessed with finding a name right away,” she shares. “I think it was on Christmas Day when we decided. I was looking online at girl names once we found out the gender. I found Alessia and loved it and Arie said, ‘What if we dropped the A from the end?’ And we both knew that was it.”

“The name means possessing a charming, easy going nature, which endears her to others … a serious desire to understand heart and mind of everyone,” she continues.

“The middle name is a nod to Lauren’s name,” Luyendyk Jr. adds. “Just like I’m named after my dad, Alessi is named after Lauren.”

Arie Luyendyk Jr. and Lauren Burnham with family.Jennifer Maule

@brethartman

In the days following the birth, Burnham and Luyendyk Jr. say things have finally been settling down, and they’re spending time getting to know their little girl.

“We have had a lot of family over,” Burnham says. “Everyone wants to meet her. But we are getting into the swing of things now, getting into a groove.”

“She has a ton of hair and her eyes are kind of changing color to a dark blue,” Luyendyk Jr. adds. “The dogs have been very curious, so we’re trying to get them use to having her here.”

“They pulled her out and put her on my chest right away and that just took my breath away,” Burnham adds. “It was wild seeing her face for the first time.”

source: people.com