As insurance is based on a variety of factors, adding or removing drivers can influence your rate. Since your current husband will be a second named insured, your insurance will need to re-rate your policy with his information. If he has a better driving record or credit history, your rate could be lower than what you previously paid. If it’s worse than yours or your ex-husband’s, your rate will likely increase.
Alternatively, If your current husband is insured, you could also see what it would cost to add you to his policy.