Hilaria and Alec Baldwin with baby Carmen
08/25/2013 at 08:00 PM EDT
Alec Baldwin and his wife, Hilaria, arrived at their N.Y.C. apartment on Sunday carrying a very special delivery: their newborn daughter, Carmen.
Just two days after welcoming their first child together
, the new mom left the hospital with their baby girl, who was carried by her smiling papa in a car seat covered with a pink baby blanket.
The yoga instructor, 29, wore a flowing black maxi dress.
"She is absolutely perfect," Hilaria Tweeted
as she announced Carmen Gabriela's arrival on Friday.
The former 30 Rock
star's oldest daughter, Ireland
, also expressed excitement about the arrival of her half-sister and posted a welcome note on her Tumblr
with advice for her little sis.
"You have been born into one crazy family," the 17-year-old wrote. "We are going to have so much fun together … I promise you I will always be there for you no matter what!"