How to fill out the Chicago Residential Apartment Lease Agreement Form? 1. Obtain the lease form. 2.Forms for Renting Residential Property. Cook County Residential Tenant Landlord Ordinance. This lease is up to date with Cook County and Illinois law for 2021. 2. The attached lease is in a fillable PDF format to aid in its use. Fill in all required fields with accurate and truthful information. Get the Chicago Residential Lease and fill it out using the feature-rich document editor. As provided in this Lease, the Board shall make rent payments due under this Lease directly to the. Bond Trustee under the Bond Resolution.