Choose the Car: Choose the car you want to lease, considering factors such as the car's make, model, features, and overall cost. The printed lease form must be labeled "lease agreement," "retail lease agreement," or "motor vehicle lease agreement.VIP Auto Lease of NY offers an online form to submit details pertaining to your car lease. In this guide, we'll look at the process involved in buying out a car lease in New York City. Before you sign, make sure you understand every part of your auto lease contract. Let's take a close look at a real vehicle lease agreement. Make Life Easier with Expert Automotive Financing. This simple method requires a down payment, and you'll need to fill out an auto loan application. Contract hire is a simple and cost-effective way to lease a brand-new car or van for personal or business use. Signing this document can help both parties to avoid disputes in the future.