Talk to your attorney about what your custody order states. And if your daughter moves in with you, immediately have your attorney get your support order modified to match. Don't use shortcuts.
What spqrzilla said.
My decree listed under what conditions c.s. was due and when it was no longer to be paid. Like if she moved out and set up her own household or moved in with me I could quit paying her mother. But if she went off to college I still had to pay until she turned 19. That sounds crazy but there you go. (we all know fairness to the fathervis utmost in thief minds
Does you decree mention any of this?
At any rate you'll need to modify you divorce decree. If everyone agrees to the change you can do it yourself. If the ex- wants to fight it (she'll start owing you child support now) then lawyer up.