The great advantage with the development of containerised plants - indoor and outdoor is that they can be moved and (re)planted pretty much at will,( think of the advantage when moving home at the "wrong" time of the season.)
Your Yuccas can be moved into a new home.Just remember to support them well and water them copiously. Regardless of those advantages I still prefer to do things in the rhythm of the seasons and as your Yuccas have been in pots for 5 years I don't think a wait of 4 months or so is too onerous and then apart from the supporting of them, nature will generally take care of the rest.