Thank you all for your replies!
I'll wait a week or so after moving day and make up my mind then whether I'll tell them or not. I'm hopeful that by then I'll have the FBI document with me.
I didn't make a copy of my application either, however I made copies of the updated forms that they asked for. I don't think it would be a problem, what can they ask that you wouldn't know by heart anyway? Has anyone read experiences regarding landing? All the ones I've read were pretty straightforward when the point of entry is an airport.