We live in a tiny, two bedroom bungalow. In the last two years we have had carpet replaced in both bedrooms and the living room. Not at the same time! All with the same company.
We chose a local supplier for our carpets, they came to measure and understand what would need doing before the order was placed. The price included furniture moving.
We emptied furniture, easier as it's a bungalow and we have a large conservatory to put the contents in. Moved a fire small items out. We have ottoman beds. We emptied them, the fitters stripped them down and moved them out. They then moved the large furniture out - blocking the bathroom which did cause a minor panic - the old carpet was removed, in went the new, everything put back. All in around an hour for each room.
Carpet fitters are very used to moving furniture, they just need to know what will be entailed before pricing.
When our living room was decorated we moved the tv and other electronic stuff out. Emptied wooden furniture. The painter moved empty furniture as he needed to, covering it all to ensure no damage. Agin he wasn't surprised at being asked to do it.
Your idea isn't a bad one bookworm, it would be very expensive though. It might worth asking a local carpet supplier to come and look and tell you what they could work around. You may be pleasantly surprised.