Click on My Info from the left side menu.  Then click on Edit next to your name.  Make sure your resident state is correct and then scroll down and make sure you have enter the proper dates for any moves you made during the tax year.   Your residency dates are pulled from this information.   Also, go back through the sales tax interview.  You are asked there again about your residency information so that TurboTax can calculate your sales tax deduction if applicable.  

See the Schedule A form that is sent to the IRS and notice that there are no dates included on the form.  Those dates are for TurboTax purposes only and those dates do not get forwarded to the IRS.