The Portland new grad market for RN's (especially those with Associate's degrees) is terrible. I would not recommend anyone moving here for their first RN job. I had to do it because my S/O moved here for a job while I was in Nursing school
Getting a job at a hospital doesn't really help either. It might have at one point but many of the nurses that I work with came from hospital's as CNA II's and were unable to secure a position at the facility where they were once employed. What employers are looking for is. 1. Working RN experience (At least a year), 2. A bachelor's degree and 3. certifications (ACLS, BLS, PALS ect.). The only other way around this is to apply to a new grad program (like legacy's - but the chance of getting into one of those is very difficult - there are wayyyy more applicants than there are spots available depending on the time of the year).
Realistically - you are probably not going to start of in a hospital if you live in the Portland metro. You will most likely start in long term care, rehabilitation, sub-acute or work for the state (Jails, Prisons, State Hospital) - unless you have some amazing connections.
I have family members that work for Kaiser Westside. They want at least 9 months experience as an RN prior to applying to their most basic med-surg positions. Having a few certifications helps too.
I graduated with a BA + BSN and prior hands on healthcare experience and It still took me > 6 months to land my first RN job here (non-acute care position), whereas back in Miami I had offers from places where I did my clinical rotations before I even graduated.
I wouldn't move here as a New grad unless absolutely necessary. I also wouldn't stay here as a new grad if I absolutely had to start of in acute care (get your year elsewhere and then move back).