I agree with both Boatbod and Flydog. However, perhaps one small point of clarification. I believe that the the 3 month State residency is required before application can be made. Thus, moving after interview probably does not violate this requirement (???).
However, clearly delays will be introduced anyway so its best to maintain Texas residency somehow if at all possible.
If not, you will have to "eat" the delay which possibly will not be as bad as if you moved during namecheck/security background.