Welcome Joannakat to the Lily forum!
As for moving the lilies, personally I would wait a little bit until you start to see the foliage start to turn brown, then cut off the stem and replant you should be good to go. Also, you might want to wait until others in this forum can chime in as we are fortunate to have some very experienced lily growers here and they can probably give you better and more thorough advice in your situation.
Again, welcome to the site!