Access easy-to-use forms to streamline your tenant screening process. An Illinois rental application allows landlords to gather information on potential tenants and evaluate their eligibility.This user-friendly form allows you to gather essential details from prospective tenants, including personal information, rental history, and employment details. Manage your tenant applications with our Chicago Rental Application Form. Fill and sign for free with Lumin. â—‹RENTAL HISTORYâ—‹ (Please fill out a Residential Rental Verification as well). How to fill out the Residential Lease Application Form to Rent in Chicago? 1. Begin with your personal information. 2. Zillow Rental Manager offers an easy online rental application and screening process. An Illinois residential rental application exercises an obligatory questionnaire to show someone's property lease qualifications.