You're going to have to accept that points on your licence will inflate the cost of insurance and reduce your choice of insurer. However, even with the most serious offences on your record, insurance will still be available and there are measures you can take to minimise the increase. You could consider having a telematics black box fitted, agree to a higher excess in the event of a claim, add a second named driver with a clean record, make your car more secure and select a different form of cover such as third party instead of comprehensive. Whatever else you do, remember to shop around. It's a highly competitive market so make sure you explore all the options before making a decision. You might be pleasantly surprised with what you find.