Find 2560 flexible and convenient short-term apartments for rent in Tucson. You and the owner can negotiate any legal terms to the lease, including the length (legally, leases for a residence are limited to just a few years)The Arizona Residential Landlord and Tenant Act (ARLTA)is the law governing most private, residential, rental agreements. When you sign a lease, you agree to rent the home for the full lease period. The Arizona Rental Assistance Program has ended and applications are no longer being accepted. 4270 home rentals in Tucson: perfect for extended stays! I signed a 6 month lease that turns into month to month after the 30th of June. My landlord said she'd give us a 60 notice if she was not going to renew lease. Currently, there is no state or county tax imposed on residential rentals, and the upcoming change to the tax law will eliminate the city TPT. Rent is due on the 1st of every month; however there is a grace period until the 5th.