Nearly a week after giving birth and enduring some delivery room drama, Kim Kardashian has headed hom, with baby daddy Kanye West and their daughter North, Breaking Celebrity News is reporting.

The only question now is: where, exactly, is home?

That’s an important question because Kim, 32, and Kanye, 36, really don’t have their own home yet and have been planning to move in with her mother Kris Jenner.

But after unexpectedly giving birth Saturday morning, week early, Kim is well rested enough to leave Cedars-Sinai Medical Center in Los Angelees.

The new family split from the hospital overnight Thursday, according to E!, which is home to Kim