If you want to live in Norfolk, there are several nursing schools
to choose from. If I were you, I would investigate all of them before making a decision.
There is MCI in Virginia Beach (Newport News is another campus that is further away and not a good commute from Norfolk). The MCI program is very expensive and very intense, but it offers an Associate's Degree in about 15 months.
TCC (Tidewater Community College) has an Associate's Degree program that takes 2 full years, but it is a lot cheaper. It is currently located in Portsmouth, but may be moving to Virginia Beach at some point. I'm not sure. Either one is reasonable commute from Norfolk.
Norfolk State University, locate in Norfolk, also has an Associate's Degree program.
There is also the Sentara School of Health Professions, located in both Portsmouth and Norfolk. They offer a Diploma program.
Hampton University offers a BSN program in Virginia Beach. Their main campus is in Hampton, but their Virginia Beach campus has a large BSN program.
Old Dominion University, in Norfolk, has a BSN program.
If you are interested in living on the pennisula -- in Hampton, Newport News, Williamsburg, etc. -- there are additional schools over there. Hampton University has a BSN program, Riverside Hospital has a Diploma Program, and Thomas Nelson Community College has an ADN program.
West of Norfolk, in Franklin, Paul D. Camp Community College has an ADN program.
I recommend that you visit all their websites and get the basic information about each school. Then decide which ones interest you most and where you want to live. That will help you narrow it down. Once you have it narrowed down to 2 or 3 schools, you should probably visit those schools and talk to them to find out the details that will enable you to pick the right program for you.