Use a damp cloth or one of the several commercially available rubbery devices to open jars. There are devices on the market that anchor up under the cupboard that one can put the jar lid into and turn the jar. There are commercially available devices to use in the kitchen to make almost everything easier to grip, including stove knobs. If necessary to have them, please use some rubber material that you can get at Fred Meyer or elsewhere under each rug. Make the piece you put under the rug big enough so the edges of the rug are not vulnerable to tripping over.
Low furniture is the cause of many falls.
I suggest raising the chair or couch 4 inches. There are commercially available elevation blocks, or just use a piece of 2 x 4 wood. Use chairs with arms so a person has something to push on. Raise a bed if it is too low and hard to get in or out of. In most cases today's beds are too high and we need to get aerobic benches to step up on to safely get into and out of bed.