I said yesterday "The new state cannot tax income that you received before you lived there." There's an exception to that. If you work in the new state before you move there, you have to pay tax to the new state on any income that you earn for working in that state, even when you don't live there.
A note to anyone else reading this discussion:
All of the answers here, from me and others, apply specifically to simplylee's situation of moving from a state that has no state income tax. If you move from a state that has state income tax, the answers would be very different, and the details would depend on the particular states involved.
