You must decide which state is your resident state and no, you don't have to pay income in both states because you can only be the resident of one state - unless you have income from a specific state. You should determine which state is your resident state - where your driver license is from, where you vote, a year has 365 days... so where you spend your time longer. Once you do, please file that state as your resident state. If you have income from your nonresident state, you may be required to file a Nonresident state. Otherwise, there is no reason to file a nonresident state; having a 2nd home in another state is not a taxable event.
