You can get renter's insurance from most places that you would get homeowner's insurance. It covers your personal belongings in a rental unit (apt, condo etc.). It is fairly inexpensive especially if you are only going to purchase a policy for a very short period.
The question is how much is the value of the items you are taking and are you willing to go through the effort of documenting (video, photos) what you take with you to prove you had it in case of loss and the process of getting the policy etc.
The home and its furniture etc. are the responsibility of the homeowner, your exposure is limited to the contract you signed and any security deposit.