Easiest to bare root them while dormant. Gentally fork around the roots saving as much of them as you can. Have new site ready to go before and promptly plant in new site spreading the roots in a natural position.

Don't dig a deeper hole than you need to spread the roots and make sure plants aren't planted deeper thay they are now. Deeper holes will cause sinking later.

Only prune what you would anyway but remove all flowers in the spring so trees put energy in root growth.