If you moved out, you no longer live there and that is his private space. He can't come into your new residence whenever he wants and the reverse is also true. Once you move out, he has the right to restrict your access to the residence. If there are items you would like, you should continue to discuss that with him. I usually recommend that you take all of your desired items at the time you move out.
You should discuss this further with your attorney or, if you don't have one, consult with an attorney to make sure that all of your rights are protected.
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