I suggest bringing a makeup mirror that can stand on its own, not one that you have to hold.
I just came back from a trip to England. We stayed in 3 different vacation rentals and 1 hotel room, not a single one had a normal outlet in the bathroom. In the hotel room there was a ‘dressing table’ / desk in the room, there was a mirror and an outlet. Do not count on finding an outlet near a mirror in a vacation rental.
I have traveled to many countries, and this is the first time I am en encountering this setup. Has there really been so many hair dryer induced accidents in bathrooms to make it a law?? I am used to being able to dry my hair right after the shower, especially in a cold country. I want to have access to both a good mirror with good lighting and also have access to a sink. Besides, every woman knows that a lot of hair fall on the floor while brushing and drying hair, it is kind of disturbing to me to have all this hair end up in other places of the house, and on the clothes you put on. Doing it in the bathroom before getting dressed is preferred.
When I traveled with friends recently, I found myself having to complete my other bathroom routine before leaving the shared bathroom, getting halfway dressed and then finally being able to dry my hair somewhere else in the house, luckily it was not winter. Then, other people in the group will enter the bathroom and you are blocked from re-entering.... you cannot add hair products etc until you are allowed back in the bathroom. With all the places we staid in, the only other sink was in the kitchen.