Get one of those portable router power banks. They're such a necessity for anyone that is frequently in hotels1. I always prefer TV mode if possible. I'm a sucker for a big screen. But the Switch screen also works fine and I like the size of it - good balance between portability and playability.
2. I vastly prefer the Pro Controller. I take that with me even if I'm playing somewhere it's not convenient to bust out a controller. The stick placement is strange with the joycons.
3. Nope. I'll be playing Zelda for the next 2 months at this rate so it will probably be a while.
QUESTION: is there a way to use hotel wifi with this thing? I'm staying at hotels half of the time with my current work travel. I can't believe they didn't factor that into the initial design if it's not possible.