Rachel Zoe and Rodger Berman
03/22/2011 at 04:00 PM EDT
is bananas for her new baby boy!
The celebrity stylist and husband Rodger Berman have welcomed their first child, a son named Skyler Morrison Berman, in Los Angeles, her rep tells PEOPLE. He weighed in at 6 lbs., 12 oz. and is 20 inches long.
"Mom and Dad 'LITERALLY' could not be happier or more in love with their son!" the couple said in a statement.
Zoe, 39, later Tweeted
, "Thank you all so much for your love! [Rodger] and I couldn't be happier with little Skyler Morrison in our arms ... he is everything."
Zoe – whose notorious work ethic is documented on The Rachel Zoe Project
– managed to take it easy during her pregnancy
, which she recently called a "wonderful, drama-free time."
While Zoe decided to forego gifts in favor of donations to the charity Baby2Baby at her recent shower
, it's safe to assume her son will be one fashionable baby