Of course, that same link provides this cautionary statement at least twice:
"The law on these types of cases is very complicated and changing. You should talk to a lawyer if you want to move away with your children or if you are worried that the other parent will move away with your children."
So, I'll go with a suggestion that the OP speak with an attorney before she does anything. Heck, if she can get dad to sign off on it, great! Maybe if she agrees to modify visitation such that she provides the transportation but there is no change in his visitation time, he'll be okay with it. And, to be fair, dad should be provided some notice. If he is involved in her life now (attending school activities, extra curricular activities, etc.) then these may be made more difficult or impossible with a 30 mile move.
In any event, an attorney consult is in order here in order to prevent unwanted reactions.