azby9999us,
If you change your physical address (where you live) before taking the Oath, as a non-US citizen, you have to report your change of address by mailing in the AR-11 form, and calling the National Customer Service Center. If you don't, there are stiff penalties, and you risk loosing it all!!
Depending on which District Office your new address falls under, BCIS will have you take the Oath under that District Office.
If you already have an Oath letter, and are moving after receiving the Oath Letter, but before attending the Oath ceremony, report the change of address. That way, you have fulfilled your legal responsibility of reporting the change of address as a non-US citizen.
If you do not get any correspondence from BCIS in the mean time, show up in the Oath Ceremony anyway, and mention your change of address in the back of the Oath letter. If they let you take the Oath, you'll become a US Citizen, and you're all set.
If they don't let you take the Oath, just wait until they send you another Oath letter. This may be the case, if you fall under a different District Office after the move.
Just take any address changes before becoming a US citizen very seriously, and report the address change to BCIS immediately.
Once you take the Oath and become a US Citizen, you will no longer have to report an address change, to BCIS.
