I have a tip to add on to Grey's below--the next time you buy a rug pad and have to cut it to get it to fit under the rug, keep the scraps, because they work really well to help get tight lids off jars and such.

I even went so far as to lift up one of my rugs to use the rug pad to remove the lid off a stubborn spaghetti sauce jar, and it came right off!