Generally, you have 20 days to respond to a lawsuit once you have been served. There is no fee for responding to a lawsuit.Request for Issuance of Service. See Harris County Civil Process Service Fees. The following forms are available for downloading, printing and completing. The following forms are available for downloading, printing and completing. Download the below documents to your system to use email functionality. At Real Property Management Houston we believe in providing you with the best Showing Instructions and Move Out Procedures to better serve you.