If you need to file in more than one state, you will need state download of software for each state.
If you are using TurboTax Online, each state download you need costs additional if you are using Deluxe or higher. One free state is included in the Free Edition. You can go here https://turbotax.intuit.com/personal-taxes/online/ and click on State Additional under the price of each version and it will show you current pricing (subject to change) for each state download.
If you are using TurboTax CD/Download, all come with one free state except the Basic edition. And each additional state download of the software will cost. You can go here https://turbotax.intuit.com/personal-taxes/cd-download/ and click on 1 state download (state additional under Basic) under the price of each version and it will show current pricing (subject to change) for those state downloads.