the best way to change your name is to change it when you
file N-400. You do not need to go to court to do it. Once you request to change your name in N-400, you will be asked to confirm at interview. Then your naturalization certificate will have your new name, as well as your U.S. passport when you apply for later. Use your U.S. passport to change your name on other legal documents such as driver's license, SS# card, etc.