Are you moving out of the district (in USCIS terms) in which you now live, or merely moving from one neighborhood to another (or one town to another in the same metropolitan area?
If you are just moving locally, I'd call the 1-800 number to find out how to change your address. If you are moving to an area under the jurisdiction of another USCIS district office, life is more complicated. I don't remember the jurisdiction rules (I read them somewhere), but I believe you need to have 3 months of residence within the jurisdiction of the local office.
Hopefully, they'll complete your processing before you move!