Kate Hudson‘s daughter, Rani Rose, is already taking in the city sights!

The 39-year-old actress was spotted all bundled up with her boyfriend, Danny Fujikawa, in New York City on Wednesday, Jan. 9. In the new photos, Kate can be seen smiling as she takes her baby daughter out for a little stroll. Rani, who is Kate’s first daughter and third child, was named after her grandfather, Ron Fujikawa, and her full name is Rani Rose Hudson Fujikawa.

Scroll down to check out the cute new family photos and see just how happy Kate and Danny are with their daughter!