If I were you, I wouldn't stay anywhere near the rink. Glendale sucks. Scottsdale is nice, but maybe not for children. But it's safe so it's a good place.
I would also rent a car if I were you and drive from the airport to your hotel to the game. I took a cab from Scottsdale once to the game and I think it was like $80 or more. I've stayed near the airport a lot myself. There's not much to do there, but you'll save driving time if you skip out on Scottsdale altogether.
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