“I would like to take this opportunity to say thank you for all the well wishes for our little Shai. I’ve read all the beautiful blessings and he is without a doubt a lucky boy,” the mother of one, 30, wrote on Instagram Thursday.
“He is a healthy boy with an incredible appetite for food and love. We can’t wait to share him with you, but for the first most crucial weeks of his life we’re just keeping him for ourselves and soaking up these moments. Thank you for your patience and all of your love!” she concluded her post.
Murgatroyd and Chmerkovskiy, 37, who plan to wed later this year, welcomed their first child on Jan. 4.
The father of one also shared a heartfelt message about being a new parent.
“It’s been one week plus one day of my fatherhood and I’m the happiest person that’s ever lived. I’m also feeling very protective and now understand what every parent in history have been going through for as long as humans have been giving birth,” Chmerkovskiy wrote.
“I don’t let too many people come see my son and I don’t want to put any of him on social media just yet. @petamurgatroyd and I just want to enjoy our little family, together with our loved ones, and take in all the precious moments which we’ll never get back,” he continued. “So be sensitive please. Or not. Either way, hope everyone’s year is off to an incredible start. Ours sure started with a bang P.S. Farts, poops and throw-ups are the best!”
The Dancing with the Stars pros recently gave PEOPLE a look inside little Shai’s luxe nursery, which they created with the help of designer Vanessa Antonelli.
“We wanted him to be comfortable and settled in his little corner of the world,” Murgatroyd said of designing the perfect room for Shai, whose name is pronounced “Shy.”
“Shai loves to be rocked to sleep, so [the Rocker Refined chair] is the most-used piece of furniture,” explained the mother of one, who spends about 17 hours a day in the room nursing and caring for Shai.