Migration Scheme - from one mysql DB to another mysql DB

Hello all, If possible, I would like to ask and have your help about the methods and procedures that should exist to accomplish the following task: I need to grab some data from one mySQL database with some specific table and field names, to another mySQL database with specific table and field names. The destination database tables are empty. What is a common procedure to do on those cases? Is there any? Several? What are the most common? If I need to be more specific in order to benefit from your help, please, let me know. Best regards, Márcio