Even if you haven't had car insurance in your own name before you could save money, as some companies offer an introductory discount or may take an existing driving history into account. This may be applicable if you have previously driven on your spouses policy or parents.
You can reduce the risk of theft by parking off road on your driveway or garage,. Most insurers will offer up to a 5% discount if you do so. There are some insurers who claim to not inflate your premium due to where your vehicle is parked, but this may be subject to post code area.
Remember any claim made against your insurance company may affect your no claims discount and could lead to higher premiums. You can sometimes protect your no claims with an optional premium. make sure this is transferable to other companies though.
One way to get lower car insurance is to buy a car that belongs to one of the lower insurance groups. These are norammly vehicles with a lower engine size and basic equipment and cheaper to repair in the case of an accident.