One possible option when an older room you upgrade is to add a ceiling light in combination with a bathroom heat lamp unit. In these units, heating oil is mounted either beside or around the light. When lit, these produce heat, which can take the chill off a bath on a cold morning. An assembly of these units can be done with a minimum set of tools. With a pencil, mark a location on the bathroom ceiling where you want the unit to bathroom heat lamp.
Turn off the electricity to the existing bathroom accessories at main circuit breaker.