There also online websites in Switzerland like tutti.ch or ricardo.ch but it’s a little more challenging since a bit of local language is needed to pull this off.
Truck rental is a bit different. There are several small local companies, not a huge provide like U-Haul. You may rent from one of those at lower prices, or the global companies you already know in big cities and airports.
Also consider that the driving license is a bit different here. The B type license (most common one) only allows to drive vehicles with maximum vehicle weight (including cargo) or 3,500 kg. In practice, this means vehicle about the size of a VW Trasporter van. Other short-wheelbase models from Fiat ,VW, or MB are also under this limit. So, not possible to drive anything similar to a box truck based on an F350 with B type license.
When you're here, do look for "Brockenhaus/Brockenstube/Brocki" (thrift store). Some of them do have nice second-hand furniture, but be prepared to do some looking around.
I second Tutti, great stuff for little money, if you're willing to look for it.
Many Brockenhäuser (second-hand shops) also do deliveries for a fee. This can potentially end up being much less trouble than renting a van and driving oneself.
For medium and smaller items, many people who don’t own a car simply transport the goods on a trolley, in the public transport. https://www.galaxus.ch/de/s8/product…E&gclsrc=aw.ds
used with or without the detachable bag, and with a lot of bungy cords.
This works well because the online timetables show one (using a wheelchair pictogram) which trams, trains or buses don’t have steps.