In the clip, Luna -- who turns 2 in April -- dances around in an adorable pink jumper while "Wheels on the Bus" plays from one of her baby toys. Meanwhile, a bathrobe-clad Legend dances along, clapping with her as the song ends.
"Eyes still puffy from puddy tears but they keep me happy," Teigen captioned the sweet video.
"Today our baby, Puddy, has gone on to the pup heavens. John and I got Puddy in our first year of dating, when I convinced him half-birthday presents were a real thing," Teigen shared. "10 years ago, on May 30th, I found the dog that would be there for us through every up, down, new house, new city, new tour, new travel. He welcomed new pups and loved on new babies and new bellies. He was there for everything."
Teigen shared a number of touching tributes to her late dog, but perhaps none was as cute as a video she shared of Puddy sweetly licking Luna's tiny toes back when the toddler was a newborn baby.
In her time of grief, playing with her adorable daughter and loving husband aren't the only things helping Teigen heal. She's also having a little fun trolling some of her close friends by trying to make them feel super guilty -- and it was hilarious.
When one of her friends posted a photo of herself having a fun time in the fluffy New York snow, Teigen dryly commented on the post, "Glad to see your so happy my dog died."
She also teased celebrity stylist Jen Atkin, who posted a photo of a body oil display featuring a collection of roses, to which Teigen posted, "Puddy hated roses," quickly followed by, "My dog just died."