insure someone or something(against something)(for something)
to provide insurance for someone or something against certain perils up to a certain amount of money. I insured my wife against accidental death for $100,000.We insured the car for its current value against all losses.
insure someone or something with something
to provide insurance for someone or something from a specific company. I insured Amy with a fine old insurance company.We insured the car with Acme Insurance in Adamsville.