The new insurance company WILL find out when they run your dmv report, which they will do when they write the policy. Which may well negate your savings. Your current company will also find out eventually - they have the right to surcharge you for the full 3 years, even if they don't add the surcharge for another 6 months or a year. Depending on the offense, it might be a big difference or a small difference. But there are no secrets that you can keep from your insurance company.