Pink's First Beach Day with Baby Willow

By Alison Schwartz

06/08/2011 at 11:35 AM EDT

Talk about precious cargo!

Just days after welcoming baby girl Willow Sage Hart – her first child with husband Carey Hart – Pink enjoyed a family beach day Tuesday.

In the first photos snapped of the newborn, Hart, 35, totes 5-day-old Willow in a brown baby carrier as the new mom, dressed in workout gear, leads the way on their hike.

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"We are ecstatic to welcome our new beautiful healthy happy baby girl," the singer, 31, Tweeted Thursday, the day Willow was born. "She's gorgeous, just like her daddy."