Recently I needed to switch furniture in two rooms in my house. I have beautiful hardwood floors that are 57 years old and was afraid of scratching them. The furniture I needed to move (by myself) was heavy, big pieces and cumbersome. I thought about getting some of those mover thingies you put under the legs to move things but I didn't trust them to not scratch the floors.
You can also use an old quilt or blanket - I've done that myself.
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When moving furniture on carpet, place a magazine with a glossy cover on all corners. This will make moving the furniture easy.
I just read Jackie H's post for using washcloths to make moving heavy furniture easier. I think this is a great idea, and I have plenty of microfiber washcloths I got from the Dollar Tree @ 3 for a dollar.
How to move a heavy piece of furniture when you are alone, without scratching hardwood floors. Use 4 facecloths, one under each leg.
This page is about moving heavy furniture on carpet. You can make or buy sliders to help you move heavy pieces over all kinds of floors.
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To help move heavy furniture more easily on tile or wood floors, lift just enough to slip a throw rug or one of those carpet samples, carpet side down, under the edge.