What does your rental agreement say about maintenance, and about termination? If you don't have an agreement, your rental is probably month to month, and you can just give notice and move.
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The landlord has to give you a 5-day notice, after which time he can file a forcible detainer action against you. A hearing will be scheduled fairly quickly in justice court. At the hearing, the judge will give you a set short period of time to move out and will enter judgment against you. Keep in mind that Arizona law does not allow you to "hold" rent until things get fixed. There are self-help provisions in the Arizona Residential Landlord and Tenant Act, but "holding" rent is not allowed.
No, they cannot change the locks and move your possessions out. They can change locks after you have been evicted but your possessions must be stored in a safe place and you must be notified of the location of your items and the cost to retrieve them.
You would be better off trying to terminate your lease than withholding rent as it will show up on your credit report and may prevent you from getting another lease.
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