It's hard to finance a car that old, although you'll probably have trouble financing anything right now with limited credit. A buy here pay here lot will get you into a car, but you really don't want that.
Only thing you can do is try to build credit. Make a credit karma account, it gives you instant credit reports updated every day, and they have a tool to suggest credit cards you qualify for. Then use them each month and pay them off when the statement comes, it doesn't have to be a lot, just enough that it shows up on your credit report. You can get a pretty good score jump in a few months.
Also, you can absolutely lie about your income to credit card companies, they don't check anything. Just don't lie to any other lenders, because they will check.
Turn an orgy problem into an orgy opportunity