A monstera's vining stems cling tightly to its moss pole or trellis, so the real prep work is making sure that support travels with the plant instead of snapping off mid-move.
Pro tip: Take a quick photo of the vine pattern on the pole before you move it, so you can retrain any stray vines back into place after.
Watch out: A vine pulled loose from the moss pole can tear at the attachment node and may not reattach cleanly.