"It’s not your landlord’s responsibility to replace your belongings in the event of a break-in. It's up to them to insure the building, but not your possessions. If you’re renting and want to protect your belongings from theft or damage, you need contents insurance for renters.
You might be tempted to pay monthly due to the nature of moving from one rented accomodation to another. There's certainly an advantage to it but be mindful of the cost. Choosing to pay for 12 months of cover in one go could save you money as you're not paying interest on the outstanding amount. Even if you decide to cancel the policy, you should still be able to get a refund for any full or part months' cover left on the policy, minus a cancellation fee."