Hi Phoenixman,
After the late 1960's, most Eureka soft bag, fan-first uprights came shipped with the handle broken down into two parts. The boxes were nice compact cube shaped containers, and the two parts of the handle were packed on a diagonal in the cube.
The answer to your question depends on whether the handle is metal or plastic. The metal handles came with a nice shiny metal bolt assembly that could easily be taken apart for shipping. If the Eureka you bought had a plastic handle, you assembled the two pieces using plastic fasteners that you snapped into place once and for all. The only way you can dissassemble these plastic handles is by breaking the plastic fasteners and getting new ones to reassemble the handle after shipping.
Hope this helps!
EurekaPrince