Sunday was a big day for Alec Baldwin and his wife Hilaria – as they arrived at their New York apartment with their brand new baby girl.

The actor, 55, was spotted carrying a car seat covered with a pink baby blanket. Hilaria, 29, was by his side, looking downright radiant in a black maxi dress.

The couple welcomed the baby – their first child together – on August 23.

“We are overjoyed to announce the birth of our daughter. She is absolutely perfect,”  the new mom wrote on Twitter.

What’s the newest Baldwin’s name? Carmen Gabriela.

It’s the second daughter for Alec, who is also dad to 17-year-old Ireland, his daughter with ex Kim Basinger.

See photos of Alec and Hilaria’s homecoming on People.

_{Image credit: by David Shankbone (David Shankbone) [CC-BY-3.0], via Wikimedia Commons}