I also would highly recommend the site http://www.NCReportCard.org for a wealth of hard data on any public school in the state of NC.
Welcome to Durham, it's a great city and I hope you enjoy living here as much as I do.
Here is some information on Magnet Year Round Durham Public School Programs.
In these schools it is a lottery system. I do think you are going to be a bit late to apply but check with the DPS Office and let them know your circumstance and that you are a relocating educator. If you need my help let me know and I will also contact them for you. If you also need help in finding somewhere to find a home to buy or even to rent please let me know.
Deborah Rigsbee Miller, Real Estate Broker
Coldwell Banker Advantage 919-491-2826