Searching for the cheapest car insurance rates for your Hyundai Sonata? Locating the cheapest insurance for a Hyundai Sonata could be a painful process, but you can learn a few tricks to find lower rates. There are both good and bad ways to shop for car insurance so you’re going to learn the best way to price shop coverage for a new or used Hyundai and get the best price possible either online or from local insurance agents.