Ignore her bad behaviour, at 3/4 they are not daft. She is probably upset at the move and trying to upset everyone else too. Don't be too accomodating to her either, when she decides she wants a cuddle sometime, tell her you have something else to do. She needs lots of love but needs to appreciate it is not unconditional and respect for peoples feelings is a two-way thing.
As an ex Infant teacher, I have seen kiddies scream the school down when being dropped off by either parent demand a present when being picked up and then stop crying as soon as their parents go down the school path. The genuine upset ones, not the protestors don't stop crying and need a lot of reassurance.
Many years ago I told a friend this as her child was making its self sick when being dropped off, we asked the teacher if we could creep back and there the child was playing merrily with friends only minutes after vomiting all over the cloakroom floor.