There are a lot of things out there to help you save your back when you’re moving or just rearranging furniture. You can buy or make a wooden dolly, that has casters on it, for moving heavy things.
You can buy plastic coated things that you put under heavy furniture so it will slide easily across carpeting. When the movers came to move my stuff into storage they had some of those with rope attached to them and I was surprised at how easily they slid the heavy dressers out to the truck.
It’s always best to take care of your back when moving or lifting things. I know what it’s like to have a bad back. Surgeries are not a fun thing to have to go through.

