with that many kids, I recommend you move near a day care. maybe even a church, your going to need lots of prayer.
On a serious note, look at the Guilford County School site to see who has the best scores. That school will be on the wish list for a lot of buyers in your situation. Then look at the number 2 and 3. These schools should be excellent, but you will not have to pay a premium of a home in a desired area.
Having no kids, I make no recommendation on a school. All the schools in Guilford County are under the same system, so it will not matter if they are inside or outside the city limits. Guilford County is growing so you will not have any trouble finding a good school in a good area that is close to everything you need.
Like the rest of the agents that have answered, call or email me if you need any more help.
Trollinger Real Estate Professionals
PS You will enjoy selling your home. In Feb, Raleigh was the Number 1 sellers market in the entire US.