When you prepare your tax return, in MY INFO you will need to enter your current mailing address. Enter the address you want the IRS to use if they need to mail you a letter or a check.
You can also update your TT account, but that will not put your new address on the tax form.
https://ttlc.intuit.com/community/account-updates/help/how-do-i-update-my-turbotax-account-information/00/25927