You can prepare and e-file both of your federal returns with TurboTax desktop.
If you have TurboTax Premier (that is what is indicated by your name), you get one state return (not e-file) with your software package. So, if you want to e-file your state or if you need multiple states, you will incur extra charges preparing your state returns.
If you only need one state and you choose to mail your state tax returns, you will not incur additional fees.