My divorce and child support was done in wv and now my kids and ex wife live in virginia and I live in Florida . Can I have the child support moved to Florida ?

No you can't move it there since there is still one party residing in the state that it first started in.

I think Califdad misread. As long as one party remains in the jurisdiction of the state that originally issued the order, the order remains there. However, since you have both moved, then it goes where the children reside.