Unlike some celeb couples, they are not hiding their relationship ... they have been out and about together, arm-in-arm and arm on waist.
This would be pretty huge, not just for Ben and Jen ... but for J Lo's kids too -- who've been doing their schooling out of Miami in recent years. Prior to the pandemic ... her twins, Max and Emme, attended in-person classes ... and obviously went virtual when the pandemic hit.
Bottom line is ... if Jennifer's looking into schools in L.A. -- it might mean the kiddos are relocating as well. Maybe this is what she was talking to her ex-hubby, Marc Anthony, about a couple weeks back. Those are his children too, after all ... so ya figure if she's doing this, he'd have to be on board.