The move-in date is the date you began living in the new state with the intent of making it your new main, primary home (your domicile in tax terminology).
Yes, in TurboTax you can enter different move-in dates for yourself and for your wife.
Per your post, your move-in date would be November 30, and your wife's would be December 28.
**Answers are correct to the best of my ability but do not constitute tax or legal advice.
