After performing some trial and error with migrating the Managed Metadata Service databases and attempting to attach the databases in another farm in hopes it would just come up, I came to the conclusion that this isn’t the best option. These are my steps for migrating the Managed Metadata Service from one farm to another. In my situation, we had an ESF farm setup where several services were hosted and are primary farm connected over to those services via a remote connection. I was tasked with migrating those services over to the primary farm to simplify the architecture. So these steps involve dropping the remote connection and re-creating it in the primary farm.