Depends on the situation, and whether you have filed taxes yet or not:
A) IF you have not filed your taxes yet:
A1) IF you moved to another state during 2019, then you Edit your name, and as a part of the questions there, you indicate your current state, and the state you moved from where it asks if you moved in 2019.
A2) IF you moved within the same state in 2019, then you don't indicate you moved. You just enter your current mailing address in the software where it asks for your address.
A3) If you moved during 2020, you don't indicate you moved in 2019 either, you just enter your current mailing address. You leave your residence (as-of the end of 2019 ) as the former state in the place where you Edited your name, and indicated your state for 2019. The mailing address does not set the state you file for in 2019, so that can be wherever you live currently.
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B) IF you HAVE filed your taxes already:
B1) IF you have moved in 2020, after you filed your taxes, either to a new state, or within the same state....then you can send the IRS a change of address (that is not done thru Turbotax).....use the following, find the form 8822 link, fill the form 8822 out and mail it in to the IRS (they say they are not processing right now....but you need to do it anyhow for when they eventually start processing them). Make sure the Post office has their own change of address card too.
https://www.irs.gov/taxtopics/tc157
B2) For a State change of address, you'd have to visit your state's tax website to see if they have a notification form.
B3) IF you changed addresses withing the same state , during 2019, and have already filed, then there is nothing to report as long as your current mailing address is correct on the forms when you filed.
B4) IF you moved to a NEW state during 2019. but failed to indicate that on your already filed tax returns.....then you have to wait for your tax returns to be processed, then you will need to start an "Amended" tax return for 2019. Once the special amendment process is started, you would indicate the state move in "MyInfo" section (or called "Personal Info" in the desktop software)..then go to the state section to change your already-filed state tax return to a Part-year tax return, and add in the new state's Part-year tax return . The former-already filed state's amended tax return would have to be mailed in...by you, at the Post office.
... The new state's part-year tax return would not be an amended one...it would be an original since you have not filed that yet....you might be offered a way to e-file it...or you may have to print and mail file it.
( IF one of the states you were a resident of in 2019 does not have an income tax, then you wouldn't have to do a part year tax return for that state.)
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That should cover most situations...
____________*Answers are correct to the best of my knowledge when posted, but should not be considered to be legal or official tax advice.*
