Hyatt Recommendation in Tokyo

Planning a Tokyo trip next year.
(I've been told it's best to book your hotel rooms before your flight because of how quickly rooms book up in Tokyo.)

My choices are between Hyatt Regency Tokyo & Hyatt House Tokyo Shibuya
I'm a Discoverist and don't care to point splurge at Park Hyatt Tokyo. I have my free Cat 4 Certificate and find myself exploring the city more-so than staying inside the hotel.

As I understand it, Hyatt House Tokyo Shibuya is a newer hotel. I've read some positive feedback from Google reviews -- Only real difficulty is finding the place since Google Maps has its address wrong.

I guess my question to all familiar would be: "Is it better to stay in Shinjuku or Shibuya when visiting Tokyo?" Has anyone stayed at both and can recommend one hotel over the other?
Thanks