After you arrive at wife’s house, your wife is required to submit a TM.30 to notify your staying at her residence.
I believe officially you also are required to submit yourself a TM.28 which is to notify a change in your address as you have gone from hotel to a residence elsewhere. This is what’s required at Udon Than Immigration and I along with my wife submit a TM.30 and TM.28 every time I return back to Thailand after I completed by quarantine.
Maybe Udon Immigration requirements are incorrect but they always insist I provide a TM.28 every time I return back to my home.