Kim Kardashian‘s proving she really can do it all … pulling mom duty and still running a successful business — all while striking some sultry poses!

The reality television star and fashion mogul brought three of her kiddos to Mel’s Diner, a famous restaurant on the Sunset Strip in L.A., which has been transformed into the SKIMS Drive-In for the week — a pop-up for Kardashians famous brand complete with an exclusive menu and clothing options.

KK looked fantastic … pulling up to the event in clothing from her shapewear brand — beige leggings and matching top clinging tightly to her slender frame.

Instead of getting a sitter, Kim brought her kiddos to the diner with her … at different times carrying Chicago and Psalm who are 7 and 5 respectively. Her son Saint pulled up in a New Orleans Saints jacket and walked with his mom.

While three of her kids attended, Kim’s eldest daughter North wasn’t there … unclear why she didn’t come though we know her dad Kanye West — with whom she she shares a close relationship — is out of the country, so she wasn’t visiting him.

As you know … Kim and Kanye have been feuding in recent weeks — with sources telling us Kim is weighing a move to strip Kanye of legal custody of their children.

The final straw came when Kanye released a song featuring their daughter North which Diddy — speaking with West from behind bars — also appeared on. Kim was totally opposed to their daughter hopping on the track.

We’re also told Kim’s worried about the impact Kanye’s online rants will have on their children … especially his personal attacks on her family.