One of things that you should do when you have executed a living trust is to talk to your insurance agent or carrier. Have a conversation with your agent or carrier about whether your state requires that your insurance agent or carrier name your living trust as an additional insured on your insurance policies affecting your home and other real property that is vested in your living trust.
When I set up my own living trust, I had a conversation with my State Farm agent. She wanted the name of the trust, the names of the trustees and the date the trust was created. She updated my homeowner's, earthquake and umbrella liability policies to name the trust as an additional insured.
In addition to the home and other real property, if, for some reason, you are vesting vehicles into the living trust, please double check with your insurance agent about any requirements concerning vehicles and your existing insurance policies covering those vehicles.
While this is not legal advice, see disclaimer on the side bar, you should talk to your own attorney and your insurance agent to confirm what may or may not be applicable in your situation involving your own living trust.