This chapter applies to, regulates and determines rights, obligations and remedies under every rental agreement for a dwelling unit located within the City of Chicago, regardless of where the agreement is made, subject only to the limitations contained in Section 5-12-020. This chapter applies specifically to rental agreements for dwelling units operated under subsidy programs of agencies of the United States and/or the State of Illinois, including specifically programs operated or subsidized by the Chicago Housing Authority and/or the Illinois Housing Development Authority to the extent that this chapter is not in direct conflict with statutory or regulatory provisions governing such programs.