How exciting for both of you!
I'm all for those plastic bags. They have handles and they hold small am'ts of water.
As for daylilies, heck the old method was to wash off dirt, cut off tops, and dry them out in the sun and store them even (some do that now!). If they were meant to be, they'll be their old hardy selves.
Right time of years for peonies to move too. Sept/Oct
Lilies, I'd do the bulbs only.
Let us know how you both make out. Best of luck.
