Kate Hudson and Baby Bingham Share a Tender Moment

By Tim Nudd

UPDATED 08/15/2011 at 11:00 AM EDT • Originally published 08/15/2011 at 09:00 AM EDT

How's this for a bundle of joy?

Rocker Matt Bellamy Tweeted out the first photo of his son Bingham on Sunday night, as the 5-week-old nestled with mom Kate Hudson.

"Family life!" wrote Bellamy. How sweet it is!

PHOTOS: Kate Hudson's Boho-Chic Bump Style

Bing made his first public appearance on Sunday, too, as the family – including Hudson's son Ryder, 7 – caught a flight out of LAX.

But Hudson kept the newborn swaddled up and tight to her chest, so photographers wouldn't get a close-up.