When I lived in a three storey Victorian house, I had a vacuum cleaner on each floor.. I still have them but am only on two floors!
The Sebo upright is absolutely fantastic. I also have a |Miele cylinder. Both bagged. Since the EU directive of limiting the KW power of vacuums, bagged machines are infinitely more able to pick up everything. I found the bagless numbers useless. If you have dogs, as I do, you might as well stick with a dustpan and brush or a Ewbank!!!
My cleaners and the builders both use bagged Henrys. There is no denying that all these machines are heavy. I read that there is a new bagged Henry stick vacuum but no little about it. Maybe worth investigating.
Good luc with your search - life was so much easier when all you could get was a Hoover, with a cloth bag and a light on he front!