A New York rental application is a legal document that allows a landlord to review a potential tenant's background information and references. Families interested in applying for the HCV Program must obtain an application from the local Public Housing Authority (PHA).A landlord may ask you to fill out a rental application. Applying for a specific property? How to fill out the New York Rental Application Form? 1. Gather all required documents and personal information. 2. The Village Code Enforcement Office is located at the Village of Allegany Municipal Building at 106 East Main Street Allegany, NY. Application submission begins at AM on Tuesday, January 9th, 2024. a. Early submissions will NOT be accepted. Rental applications are essential for landlords when evaluating new tenants for a vacant rental property.