If you are buying a second car, your no claims discount may only apply to your first car, but you may still get a lower car insurance quote if you have not made a claim previously and use that car insurance company for your first car.
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.
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.