Do you have an absolutely, positively secure room/place for him during the move? I ask because so many people have told me that their cats ran away during a move. Some said they locked them in a back room but when a mover opened the door to pack things up, the kitties took off like a shot. Your old house and your new house are going to be wide open with people coming and going. The only thing I can think of is to either board Cubby or keep him in a carrier. When everything is moved and secure, you can bring Cubby and introduce him to his new home.

Keep us posted!