If you are renting a place usually the type of insurance you would get would be for your contents only. The owner of the home will carry the hazard insurance policy that insures the structure. You can get a renters policy just for your own belongings. Some place require you to get renters insurance so they won't be responsible for your belongings. Renters insurance can be reasonable, depending on what value amount you insure them for. I've seen policies that run $100 a year, that's pretty inexpensive.