Answer: You'll want to reduce transplant stress as much as possible so begin by cutting off all the flowers and flower buds (they'll probably wilt and die anyway so you're not going to be out much). Mini-roses are small in size so you probably won't have to prune them back to move them, but if you do, you can cut off about one-third of the top growth.
Expect the roots to be in the top 8-10" of soil, extending out a little farther than the longest branch. Start digging at about mid-way between the main stem and the longest branch. Dig straight down to sever any roots that are extending out too far, then angle your shovel toward the middle of the plant and dig down 6-8". You'll be able to find the root mass by exploring with your shovel, or with your hands. Try to keep as much of the rootsystem intact as you can and transfer the dug mini-rose to a nursery pot or other container with drainage holes. Fill in around the edges with more soil and then water it well. It should settle into the container and continue to grow without problem.
Best wishes with your move!
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