Renewing from the same insurer will help keep intact the benefits you accumulate over the policy period. Like the premium discount that you get on not filing a claim in a policy year. The discount would, inevitably, add to your savings. Non-renewal would lead to the seizure of the insurance policy as well as the accumulated benefits. Moreover, renewing with the same insurer adds to your reputation of a disciplined customer, creating scope for more benefits in the future.