Moving into a new place is an exciting moment, but it comes with a lot of work to turn the empty house into your home. Something you may want to consider while the new house is still empty is to give it a move in deep cleaning. The house will most likely be clean, but while it has no furniture you can give it that extra little effort to make it clean to the core.
While the people who moved out of your new house probably gave it a cleaning, there is certainly dirt and grime hiding in obvious and hidden places that got missed. It is smart to make the extra effort to get all that dirt from old residents out and start fresh and clean.