I am attending UW Day in the fall, so take me with a grain of salt. The MSW/MPH is a great opportunity. Also UW campus is within a 5 mile radius of 6 major hospitals (Seattle Children's, UW Medical, Harborview, Swedish, Virginia Mason, VA), in addition to many renowned research institutions in the Seattle and Lake Union area. I am a native Seattleite, but had been gone for a decade in other cities before moving back in 2011. It is a beautiful city, with a lot of very forward thinking medical institutions.
I know nothing about UCLA. Good luck on the decision making process. Let me know if you have any Seattle specific questions!