Revocable trusts and Last Will and Testament documents remain valid even if you've moved to a different state. Nevertheless, some states may have specific language around specific powers or requirements that they want in the trust document to govern assets and properties in their state. So, while it isn't required, it can be advantageous to amend your trust to be sitused based on the laws of your new state of residence. It is an optional choice you can make.
More commonly, Financial and Healthcare Power of Attorney (POA) documents are state-specific and we strongly recommend they be updated to conform to your new state's requirements so that no additional steps or court intervention will be required when or if it becomes necessary to use another state's POA documents without incident.