Moving is indeed a very stressful endeavor for everyone who experiences it. This is why the proper steps have to be taken to grab every opportunity to make a move go much smoother and more efficient, minimizing stressful situations that can compromise judgment and decision making.
For one, it is very important that you start planning early. Starting early will give you much more time to prepare and will allow you to work at your desired space. That's obviously much less stressful than having to handle moving logistics and preparations on the fly while balancing other non-moving related concerns.
Speaking of planning, you should also involve other people who might be affected by the move. This so that any concerns can be addressed and help avoid the occurrence of any conflicts in the future. Everyone else will also be able to prepare earlier, thus making them much readier when moving day comes.
Make sure that you also pack in an organized way - make an inventory of the things you'll be bringing with you, and pack per room so that you can unpack in the same manner. Make sure that you use the right kind of boxes and pack your things the right way - especially breakable and delicate items, which need to be packed with packing peanuts and bubble wrap to absorb the shock of transport.