I arrived in Hawaii as a travelling nurse in 1990 and have been here ever since. My husband and I always thought we would move back to the mainland after about 1.5 years..........but now, 17 years later here we stay.
Hawaii like anyplace has it's pros & cons and it's definitely not for everyone............but it is a beautiful place, with a lot of culture, friendly and supportive people, and if you love the water and the outdoors then it is definitely a great place to live.
For at least the first 10 years, I lived here I thought of it as more of a "working vacation".

Spent plenty of time sightseeing and playing tourist. Even signed up with a local nursing agency as a way of working on the neighbor islands. I "mushed" all my shifts at home together so I could have 6 days off in a row. The agency would fly me to Maui or Kauai or the Big Island to work for a couple of shifts..........leaving me 4 days to play before flying back home!
The schools are as schools everywhere some excellent, some not so good. A large percentage of professionals put their children in private schools.........more so than anywhere else I have lived. But hey, Barack Obama went to high school in Honolulu and look where he is now.
The Queen's Medical Center does offer a relocation bonus if you agree to work for at least 18 months in a critically needed position. Most of the inpatient RN positions fit into this category. The medical center also may be able to offer you "temporary" housing when you first arrive. Info on the $5000.00 relocation bonus is posted on the internet at:
http://www.queens.org/jobs/criticallyneeded.html
Job rate for an RN with at least 2 years of experience is right around $40.00 per hour plus differentials for shift, longevity, etc. The salary ranges are posted at:
http://www.queens.org/jobs/rnsalary.html
The staff nurses are also getting a raise in December of this year.
Queen's is a 550-ish bed hosptial with a large number of specialty units (cardiac, neuro, a new cancer institute, level 2 trauma service, ED, med/surg, OB, etc., etc.).
Since you were asking about pediatric units, the main pediatric hospital on Oahu is Kapiolani Women's & Childrens. Queen's does have a small pediatric unit on Pauahi 7 which also admits med/surg urology patients. The surgical trauma and neuro ICU also admit pediatric patients.
Feel free to PM me for more information or call the nurse recruiter directly. Her name is Pauline Menor-Ozoa @ 808-547-4954