In the lower category staterooms (5-12) there is one plug with two outlets on the desk (by the mirror). There is also a plug behind the TV. I'm sure that one of those outlets is used for the TV.
We took a nightlight both trips. The time we had a Cat 10, it was really needed. The last trip, we were upgraded to a Cat 5, and there was enough light coming in from the verandah to not need the nightlight.
We took an extension cord the first trip and a power strip the 2nd trip. The power strip took up more room, but was much easier to use (it didn't get tangled up, and it kept the cords flat on the desk).
Enjoy!