First, you need to ask what your budget is. You need to know what your finical status is and how much you can afford every month for auto insurance. Then you can narrow down some of the more expensive coverage in your insurance plans.
Second, decide the amount of coverage you want. Decide whether you want 15,000$ coverage per accident or 30,000$ coverage per accident. Normally, people will try to save money and choose a lower coverage. Personally, I would recommend choosing full coverage that would an accident fully. The reason is because the price difference between the two are minimal compare to the amount of they cover. For example, the difference maybe 10$ amount which means 120$ a year; however, if you get into an accident, the insurance policy will pay you maybe 50,000 than 15,000. You see the difference?
Lastly, find out what is the price range is for the coverage you have selected. After you know how much you want for your coverage. Go to different companies and ask how much their price is for the same coverage by calling them or checking it on their website. After you know how much different insurance companies cost find a well known brand with the lowest price on the same coverage.