Question of the day: Does renters insurance cover moving?
My best advice? Call your insurance agent and ask. Unfortunately there isn't a general answer for this question since it depends on the parameters of your renters insurance policy.
Normally, if you are moving in-state, you can simply contact your renters insurance agent and submit a change of address, with no lapse in coverage. However, if you are moving out of state, the insurance company may not be able to provide coverage at your new location. Also, the personal property coverage provided by many renters' insurance policies applies only if the property is inside the primary residence – personal property away from the residence may be covered only at a percentage of the primary residence coverage.
Here are questions you might consider asking your insurance agent to figure out if your renters insurance policy covers moving: