A trampoline can sometimes be moved short distances whole, but for any real move you should disassemble it. The springs are under tension and the frame is a large ring, so the job is about safe spring removal and keeping the many parts organized.
Pro tip: Count the springs as you remove them and confirm the same count on reassembly for a safe, even bounce.
Watch out: Trampoline springs are under tension and can snap back and cut, so always use a spring tool and wear gloves.