Kim Kardashian and Kanye West’s kids continued to live it up in New York over the holidays.

Diners at ice-cream institution Serendipity 3 told us that North, 6, Saint, 4, and Chicago, 1, were spotted at the eatery having dinner “along with their nannies” this week.

The kids, in various groupings, have also been making appearances around town with their parents — including a visit to “The Nutcracker” and their dad’s own Lincoln Center opera. Page Six also reported that Kim took North and Saint to lunch at L’Avenue at Saks.