A Bowflex stores real power in its bent fiberglass rods, so the move starts with releasing that tension, not lifting the frame. Once the rods and attachments come off, the rest is manageable.
Pro tip: Lay the rods flat in a rod bag or wrapped in a blanket taped shut so they cannot flex during the ride.
Watch out: Never carry a resistance rod while it is still under tension, a slipped connection can snap it free hard enough to cause a real injury.