You could contact the company that carries your auto or life insurance for a quotation. You may be eligible for a multi policy discount.
If you have ever had something happen to your belongings in your apartment or storage rental, you probably are familiar with renters's insurance.
If you don't think renter's insurance is worth purchasing, sit down and figure out how much it would cost to replace everything in you home.
Remember, even the best kept buildings can get a roof leak or a pipe can burst. Fires can start just by someone forgetting to blow out a scented candle.
You could pay for insurance for years and never use it. If that's the case, consider yourself lucky. If you have had to use the insurance, you know how valuable it is.