In all probability, everyone who's ever moved would say that they wouldn't mind a bit less stress in their respective moves. It's a big task and a big moment in one's life, which is why a lot of people are burdened and overwhelmed by it all.
One thing you can do to ease the burden if to plan early. Planning early spares you the pressure and stress you'd experience if you were rushing things instead. This will also allow you to have more time to fine tune and change your plan for the better - there's a bigger chance of catching any mistakes before they cause any trouble when you have a big head start.
If there are other people involved, ask for their help. Everything from the brainstorming and the physical effort - everything has to be done cooperatively and as a team. This will also allow you to address any concerns of the other people affected by the move (you kids, for example).
Packing is also an essential part of moving, and needs to be done right. Firstly, pack based on the rooms so that you will also unpack accordingly and nothing will be mixed up together. An inventory and proper labelling will also help you keep track of things easily.