Chloë Grace Moretz and boyfriend Brooklyn Beckham got affectionate in New York before jetting off to Los Angeles together

Credit: Elder Ordonez/INFphoto

They can’t keep their hands to themselves!

Chloë Grace Moretz and boyfriend Brooklyn Beckham showed off their sweet romance in the Brit’s namesake borough on Tuesday, cuddling up while the actress filmed a scene.

The pair were photographed embracing at Junior’s restaurant in Brooklyn while Moritz, 19, was shooting a video, according to Page Six.

Moretz shared a paparazzi photo of the couple’s cuddle on Instagram, writing of Beckham, 17, “I think I’ll keep him :)”

The pair’s Big Apple visit was short-lived, however. They were spotted arriving at the Los Angeles International Airport the next day, holding hands as they walked through the arrivals terminal.

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Beckham and the Neighbors 2: Sorority Rising star have been dating on-and-off for the past two years after meeting in a SoulCycle class during the summer of 2014.

While Beckham is London-based, Moretz recently told PEOPLE they make the long-distance romance work because of “trust and communication.”

“You have to have a model of trust and leave it up in the air and make sure you can hope for the best,” the young star told PEOPLE. “Make sure you’re both invested, then you’re good to go.”