Research each of your species for their suitability for whatever climate or region you're planning to move to. The white mulberry in particular is considered a noxious invasive in many states and in fact is illegal to plant in some municipalities because of its excessive pollen production. Also, they can get as tall as 50 feet and have large, spreading root systems...not sure how long it would be suited for a container unless you plan to miniaturize it.
https://www.invasive.org/alien....
It won't matter how much you prune the tops; the true damage occurs to the roots, which become cramped, girdled and circled in small containers and then are too stunted to fully and properly develop once planted in the ground. I think much depends on species, knowledgeable culture and care, and consistent upkeep. Just things to think about. Trees aren't my area of expertise, however. Hopefully you'll hear from specialists
