You have the ability to move house as long as you have finished Flutter's request Attic with a View. In addition, Pam will not be able to talk to you about moving house if it is night-time in your game. In this case, come back when it is daytime. Note: In order to move house, you must pack up everything in your old house and place them into your storage. To do this quickly, while in your room tap "My room", "Rearrange", "Remove", then "All".