Amends the Counties Code. Changes the Rental Housing Support Program State surcharge a county recorder must collect on each real-estate related document from $9 to $18. Increases the fee a county may charge for recording documents. Makes conforming changes. Amends the Rental Housing Support Program Act. Provides that annual receipts distributed under the Rental Housing Support Program shall be distributed with priority to local administering agencies from the county in which the annual receipts were collected. Provides that the Illinois Housing Development Authority shall wait at least 6 months after annual receipts are deposited into the Rental Housing Support Program Fund before distributing the annual receipts. Provides that the Authority shall work with each county to ensure that at least one local administering agency is located within each county. House Floor Amendment No. 1 Deletes reference to: 310 ILCS 105/10 Adds reference to: 310 ILCS 105/30 new Replaces everything after the enacting clause. Reinserts the provisions of the introduced bill with the following changes: provides that, as part of the request-for-proposal process and subject to specified requirements, best efforts will be used to prioritize local administering agencies that serve the county in which annual receipts were collected upon receipt of current data from the Department of Revenue applicable to the annual receipts (rather than annual receipts shall be distributed with priority to local administering agencies from the county in which the annual receipts were collected); removes a provision requiring the Illinois Housing Development Authority to wait at least 6 months after annual receipts are deposited into the Rental Housing Support Program Fund before distributing the annual receipts; provides that the Illinois Housing Development Authority shall use best efforts through outreach to local administering agencies to encourage at least one local administering agency to serve each county in the State (rather than the Authority shall work with each county to ensure that at least one local administering agency is located within each county); and creates the Illinois Rental Housing Support Program Funding Allocation Task Force, which shall study and make recommendations regarding the equitable distribution of rental housing support funds across the State and shall also work with the Authority as funding allocations will be required to be adjusted due to data released by the United States Census Bureau on the 2020 decennial census. Effective January 1, 2022. Senate Committee Amendment No. 1 Changes the effective date of the bill to July 1, 2023 (rather than January 1, 2022). Makes conforming changes to the date the Illinois Rental Housing Support Program Funding Allocation Task Force is required to submit its report (from March 31, 2022 to September 30, 2023) and the date the Task Force provisions are repealed (from March 31, 2023 to September 30, 2024). Senate Floor Amendment No. 3 Provides that the Governor shall appoint 3 members (rather than one member) to the Task Force from an organization representing Illinois county clerks and recorders (rather than Illinois clerks and recorders), including appointments from the Chicago suburbs, from a small metropolitan area, and from a rural area. Makes technical corrections in provisions about appointment of a member representing a local administering agency from a rural area to the Task Force.