Another option is to trade your car in at a dealership. When you do this, they’ll pay off your loan with the amount of the trade-in. Then, they’ll roll the leftover amount into the new loan.
I’m sure you’re already paying for car insurance on your current car. Keep in mind that whenever you finance a vehicle, the lender requires full coverage. If you do get a new loan, even on an older vehicle, you’ll still need higher coverage.