Lighting is so important in the bathroom, ceiling lights will ensure adequate light to safely see by, increasingly important with advancing age. However you may not want a stark light all the time, consider dimmable lights, mood lighting, colour changing lights, LED strip lights to illuminate zones, spot lights over mirrors for make-up/shaving etc.
Lit mirrors an also achieve the same. Avoid the misting up of mirrors in a steamy bathroom with de-mister pads on the back. As with all electrical items in the bathroom always check with your electrician and have them installed by a suitably qualified electrician.