If you bought your current house without thinking about schools, start the research on schools, determining if the local district will work or not, what other areas have better districts, and what the housing cost is in those areas. Remember to check for charter schools.
Based on that, see if there are houses you like in the area with the best school districts, and if those houses would fit in your budget.
You have some good equity to work with. Ideally, you can sell your house and buy a new one and still be able to put a big chunk of that equity in the bank or into other investments to build some wealth. If your credit is strong, don't be afraid to buy a house while putting less down and having a larger mortgage if you are reinvesting the equity from the old house. The financing on the mortgage will be cheap as heck in terms of interest rates and you can beat that with your investments to build wealth.