Synonyms for Move out:

n.

emigrate, move, migrate, immigrate, decamp, relocate, retire, resettle, brain drain. move out (noun)
remove, take out.

v.

depart (verb)
retire, decamp, emigrate, migrate, remove.
exit (verb)
move.
social (verb)
remove, take out.

Other synonyms:

resettle, brain drain, emigrate, immigrate, relocate. migrate, retire, decamp. move. depart
emigrate.
Other relevant words:
retire, decamp, emigrate, move, relocate.