You won't hurt it at all, just dig very deeply to get entire root systems. Less disturbance = easier recovery. When you get a chunk dug up, the individuals should fall apart from each other easily.
This is why one can't just pull a wayward spiderwort, must be dug:
They look cut-off because they were. DH got sick of mowing around them and I told him to mow them & then they'd be easier to move, which was true. I've also moved many un-mowed, blooming plants, and degree of disturbance combined with length of time out of the ground determines how quickly they recover. Water gently but thoroughly after replanted.