How close to the mall and is there a starbucks close by?
No, there's not. But they've a shuttle that takes you to Bellevue downtown where you have great options for shopping and a couple of Starbucks coffee shop
If you are walking it is a little bit of a walk to any shopping or coffee. There is a little business park right across the street that has a little cafe with yummy soups and sandwiches. The hotel has a shuttle service but I did not use it. If you have a car you can be at the mall or coffee within 5-10 minutes.
As far as I remember the mall is 15 minutes driving from the hotel. Not sure if there is a Starbucks closer.
There's Starbucks stores everywhere in Seattle, as well as others. The Westlake mall is within walking distance. I believe the hotel serves complimentary Starbucks or Seattles Best Coffee.
There are three Starbucks about 1 mile away. Go down the east gate hwy and if you turn left at the light there are two and turn right there is another. Use tripadvisor for directions that's how I found one.
It is about a 15 minute drive to a mall. The hotel is in an office park so you have to drive to everything but very close to the interstate on ramp. Not sure about Starbucks but the hotel has coffee available all day.
Get an answer from Hyatt House Seattle/Bellevue staff and past guests.