As a former US teacher who gained certification in two states, I suggest that if you are also US-based, talk to the board of education licensing department for the particular state you are planning to teach in. They can explain the specific requirements for teaching the subject matter that interests you.
Public schools are desperate for teachers. As long as the college/university holds accreditation, no one will care which one you choose, what matters is credits in various areas and the major/minor. Some states have programs to allow you to complete your certification requirements while teaching, but every state is different. Again, the state board licensing dept is the place to get these questions answered.
Finally as a former middle school teacher, I commend you. Our nations kid's really need caring people with real-world experience to bring that expertise and passion to the classroom. Good luck!