Alec Baldwin, Hilaria introduce daughter Carmen

Alec Baldwin and wife Hilaria are in parental bliss.

The two welcomed their first child together, daughter Carmen Gabriela, on August 23, and on Wednesday they introduced Carmen to the world.

Along with a photo shoot for People magazine, the Baldwins filmed a candid moment for "Extra."

"I have the feeling that life is wonderful," Baldwin, 55, said. "I have the feeling that I'm so lucky, I'm so blessed, all those things that everybody feels when you have a baby and you want to have that family."

Baldwin has gone through this before, as he's also dad to 17-year-old Ireland Baldwin, his daughter with ex Kim Basinger. "It's a second chance for me, in a way," the actor told People magazine. “Everybody knows I had a pretty unpleasant custody battle for Ireland," whom he describes as "well-adjusted and as happy as one can be."

But for Hilaria, 29, parenthood has opened her eyes to feelings she didn't know existed.

"Every single day is a dream come true. I have trouble sleeping because I just want to look at her. Every single day you wake up and it's Christmas," she told "Extra." "I didn't know this kind of love before. It's a love that hurts; it hurts when I'm away from her, I can't handle it. I want to make sure that she's OK every step of the way. It's indescribable, it's absolutely indescribable."