Yes, transplanting is best done when the tree is dormant and not right in the middle of the growing season. Digging it up during the growth phase is difficult on the roots, and the more roots you damage, the more that stress shows up in all the other parts of the tree. That's why they make these tree-transplanter trucks that use 4 enormous blades to dig down in and scoop out the tree with one bite of the soil. The more you can imitate that kind of action, the more successful your tree move will be. Like this:
If you do have to go at it manually with shovels, make sure to use a lot of water -- before you dig to loosen the soil and make it easier to pull the tree out of the dirt by the roots, keep it wet while you are moving it, and water it in good in its new home.