Answer: It's generally accepted in gardening circles to transplant when the weather is mild. That translates into planting in either spring or fall, avoiding the heat of summer and the cold of winter. If your plants need pruning prior to transplanting, I'd wait until spring, simply because pruning encourages new growth and any new growth that develops in the fall months will be more susceptible to winter damage. In the cases of butterfly bushes and hardy hibiscus plants, major pruning is typically done in the early spring. If you don't need to prune prior to moving, go ahead and move them now. Your dwarf peach tree should be replanted in the late fall or early winter while it is dormant. Moving it then will ensure it suffers less transplant shock and will have several months of cool weather in which to re-establish its root system.
Best wishes with your landscape!
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