EXCLUSIVE

Alicia and her husband Swizz Beatz recently sold their SoHo condo (the one she bought from Lenny Kravitz back in 2010) and started the moving process this week -- a tall order in jam-packed Manhattan.
It's clear from the pics, Alica's a problem-solver ... rather than have her stuff -- which filled 6,000 square feet -- lugged down stairs or elevators, she hired a crane (which can run over $1,000 / day) to fast track her goods to the ground. Pretty baller.
FUN FACT: Alicia and Beatz are now headed to a mansion in New Jersey ... previously owned by Eddie Murphy. Also baller.