A portable wardrobe closet is a lightweight frame of poles with a fabric cover, so moving it is really about disassembly and keeping the small parts together. It packs down small once you take it apart.
Pro tip: Snap a photo of the assembled frame so the pole layout is obvious when you rebuild it.
Watch out: Do not move a portable wardrobe closet assembled and loaded; the lightweight frame is not built to be lifted full and will bend or collapse.