Ben Affleck and Jennifer Lopez.Photo: Elder Ordonez/SplashNews.com

Ben Affleck; Jennifer Lopez

Jennifer LopezandBen Affleckare taking their romance bicoastal once again.

Afterenjoying some family timewith their kids at Hollywood’s Universal Studios on Friday, the couple jetted off to the Hamptons where they were spotted enjoying a walk together on Saturday.

The couple has beengetting to know each other’s kidsas Lopezplots a movefrom Miami to Los Angeles, where Affleck is based. An insider previously told PEOPLE that her 13-year-old twins, son Maximilian David and Emme Maribel, whom she shares with exMarc Anthony, 52, are"onboard with starting fresh in Los Angeles."

Ben Affleck and Jennifer Lopez.Elder Ordonez/SplashNews.com

Ben Affleck; Jennifer Lopez

“They are slowly getting to know Ben,” the source added. “Everything seems to be running smoothly. It’s very obvious that Jennifer is serious about Ben. She hasn’t looked this happy for a long time.” Affleck also shares daughters Violet Anne, 15, Seraphina Rose, 12, and son Samuel Garner, 9, with ex-wifeJennifer Garner, 49.

The pairrekindled their romancein late April after Lopez and Rodriguez, 45,ended their engagementin March, and Affleck and De Armas, 33, broke up in January.

The couple originally began dating in July 2002 after meeting on the set of their movieGigli. They got engaged that November before postponing their September 2003 wedding days before the date and ultimately calling off their engagement in January 2004.

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A source told PEOPLE in May that their relationshipis different this time around. “Time has passed, and they are each in a different place with children,” the insider said.

Listen below toour daily podcast PEOPLE Every Dayfor more onJennifer LopezandBen Affleck’srekindled romance.

source: people.com