A pre-lit artificial tree is really a set of sections with wiring that connects between them, so the goal is separating those sections cleanly and labeling the connectors rather than fighting a tangled mass of branches and lights.
Pro tip: Photograph the fully decorated tree before taking it down each year, not just for the move, since it makes recreating your favorite ornament placement effortless.
Watch out: Repeatedly force-folding hinged branches at a sharp angle eventually cracks the internal hinge wire that gives each branch its shape; fold gently and only as far as it naturally goes.