The first time I went to Shake Shack was in Washington D.C. at a new location they had just opened. I happened to be staying near the Shake Shack on 44th St so went there for dinner one day.
One of the things you hear about Shake Shack is that there is usually a big line up. I arrived at about 8:30 on a Tuesday night, and there was still a lineup; it took me about an hour to get through the line and for my food to be ready! I ended getting a Shake Stack which is their cheeseburger + a deep fried portabello mushroom, and their cheese fries. The burger was pretty good but the fries are a kind of waste. I like how the fries are shaped/cut, but the cheese is just extra calories! I think I got fooled by cheese fries the last time too, so I need to try and remember not to get those next time.
I ended up staying at the Four Points by Sheraton just a few streets south of Shake Shack. It is on a kind-of sketchy street, beside the NY State Parole Board (there were lots of sketchy characters lined up outside it every morning) and my window view was of the Port Authority. Other than that, it was a solid, no-frills hotel that seems to be recently renovated so its clean and functional.