Katy Perry & Russell Brand -- Time to Move Out?

The moving pods were out at Katy Perry and Russell Brand's home in the Hollywood Hills Wednesday ... which begs the question ... who gets to stay in the house??

Katy and Russell purchased the $6.5 million, 3 acre, Sunset Strip-area estate back in June ... but just last week, the British funnyman filed for divorce ... leaving the future of the home in limbo.

Not a great time to sell real estate in L.A. ... and if they decide they want to unload the place quick, it might mean a great deal for a potential buyer.