The good news is that you have many things going in your favor. Even if you only have limited income from a part-time retail job, you still have little to no debt or financial obligations. Without rent or a mortgage, your debt-to-income ratio — one of the greatest factors in loan approval — should be below the industry max of 43%.
If you have parents with good credit who trust you, have them cosign on the loan. Not only will this garner strong approval consideration from lenders, but it will also help you build the credit you need for future purchases. In addition, you should consider small banks or credit unions, as these two types of institutions may have lower rates and be more willing to work with you on your first-ever car loan.