A safety cover for use on a handrail, grab bar or peripheral edge of a fixture or object at a darkened location. The cover features a longitudinally split tubular member of resiliently flexible material and an illumination source carried thereby that is operable to provide illumination of the darkened location. The tubular member has a circumferential resiliency that biases two free edges of the tubular member toward one another from to automatically close up the longitudinal split, whereby the tubular member frictionally grips the rail, bar or peripheral edge over which it is placed. An illuminating floor mat or toilet lid cover features at least one longitudinally-shaped illumination member running along at least one peripheral edge of the mat or cover with one or more light-emitting areas of said longitudinally-shaped illumination member in a visually detectable position left unconcealed by the mat or cover.