Quote from optioncoach:
There is no need to transfer the LLC. 1,000s of LLC are formed in the State of Delaware and do business in every other state BUT Delaware. When you go to Maryland simply register the LLC as a foreign LLC operating in MD and you can leave the LLC in NJ. You do not have to have the LLC formed in the state you do business in (again, Delaware). But if you do business in a state outside of where the LLC is registered, you simply have to get a license from the State to do business as a foreign entity (foreign meaning outside the state, not outside the U.S.).
Go look up the Maryland State website on corporations and LLCs and you will find a lot of info. You do not need to move the LLC.