Insurers don’t like drivers with drink driving convictions. If you’re beginning to drive again after a ban due to a conviction, it can be very difficult to find an insurer willing to cover you. This is because you are now seen as a high-risk driver. See our page on insurance for convicted drivers for more help on getting a policy.
You should remember that you are obliged to tell your insurer about your conviction, whether you are taking out a new policy or renewing an old one. If you don’t, your policy will almost certainly be void should you need to claim.