They should be tacked down or removed. Using hand rails to go up and down stairs is easier and safer. Add hand rails to all stairs, if possible. Clutter such as shoes, electrical cords and magazines is a safety hazard. Keep pathways clear.
Good lighting can reduce the chance of falling.
Consider adding night lights where overhead lighting is lacking. Add bright tape strips to the edge of each stair. Always keep a charged flashlight near your bed for emergencies. A night light in the bathroom can also make night trips to the bathroom safer. It does, however, provide a starting point.