Can you dig them and take them bareroot to your new place then pot them up and keep them potted? You can always ask friends and family to take care of them for you and take pictures so you can make sure they're doing good.
I will say that I have left irises in milk crates for years with no soil or anything around them and they still did fine and continue to thrive to this day wherever I plant them. I just left them outside until we got done building retaining walls and figured out where we wanted them.
