Camila McConaughey Takes Baby Livingston to the Park (Photo)

By Tim Nudd

01/29/2013 at 10:05 AM EST

A lovely 80-degree day in Austin, Texas, was just what Livingston McConaughey needed for a nice stroll in the park.

Camila and Matthew McConaughey's newborn son enjoyed an outing with mom on Sunday – the first glimpse of the couple's third child, who was born Dec. 28.

Camila, who celebrated her 30th birthday on Jan. 28, shared her happiness via Twitter, writing, "Today I am 30 years old, Livingston is 30 days old and I'm blessed with 3 healthy children...I am so thankful and full of joy!"

At the park on Sunday, she mostly kept Livingston covered in a light blanket, and was seen kissing the boy on the head.

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Camila, meanwhile, was dressed comfortably in a white shirt, black leggings, sneakers and dark sunglasses.

Matthew was also out and about in Austin on Sunday, looking well on his way back from his dramatic weight loss for a movie role.