We have found IKEA to be a good source for solid carpeting. You can also go to any carpet seller and have a remnant of wall to wall carpeting bound to the size that you need, probably a lot cheaper than rugs. You can get adhesive pads for the bottom of the legs that are non-skid. We have found though that the plain adhesive ones don't stick to the legs as well as they stick to the floor, so if you can get the kind that have a recessed nail hole definitely go with those!

I'm not really interested in piece of carpet that is cut up. To me a nice rug and a piece of cut up carpet have different textures. That said, I haven't been in a carpet store lately, so I may be crazy.

As for the furniture pads, do you have a brand name? Can I order them online? I have looked at Home Depot, Lowes, Bed Bath and Beyond and ACO (Michigan). All I have seen is felt or some giant rubber cups. I have also looked on Amazon.

I have an answer for you but will get banned for posting a name. You actually have two great options. One is a major manufacturer that offers solid rugs and the other is a cheaper way to get exactly what you want. I used to help people by looking up stores in their area that could service them but have been banned for doing that. I may go to internet jail for telling you this much. I have numerous published articles but have been insulted by this forum for trying to help people with the knowledge i have gathered over a life time and use to educate, and save people money.

I had the problem of sliding furniture on my wood floors. I found that using Rubbermaid (or other brands) of shelving "liner,"which comes in rolls, keeps them from sliding. I don't remember the exact name, but it is the kind that keeps dishes from sliding on cabinet shelves. It is a very thin rubber. I buy it in the beige color that matches the floor most closely, cut it double the size of my furniture legs, then fold it over so it is doubled. (it sticks to itself better than to the floor). There is no real "sticky stuff" on it, it's just very non-skid. Keeps the furniture where I want it and is not really visible at all.

The product name is rubber caster cups - they are the things to put under legs to protect the floor. If you can, find those made of hard rubber - not the hard plastic type.

I also need something to protect wood floors but from stools and chairs sliding in and out from the table and island counter. Beautiful newly finished floors and I'm afraid they'll look horrible after a month of real life. The island separates the kitchen from the dining room and we couldn't easily use a different flooring material there and we don't want a dirt-collecting rug under the dining room table. Any ideas? Would really love something like a huge clear mat - the kind they use for office chairs:)