True ETL Tools
If you need more than just to copy data from SQL Server to Azure MySQL, you may use Skyvia's powerful ETL functionality for SQL Server and Azure MySQL integration. Skyvia's Import tool will correctly extract SQL Server data, transform it, and load to Azure MySQL when Azure MySQL tables have different structure than SQL Server objects. Moreover, Skyvia Import allows loading data in any direction, supporting Reverse ETL scenario.
For more complex cases, you can use Data Flow and Control Flow tools. They are designer-based solutions for creating complex data pipelines, involving not only SQL Server and Azure MySQL connectors, but any number of connectors in one integration. With these tools you can automate data workflows, involving custom logic, complex multistage transformations, combine data from different sources, load them into multiple destinations at once and many more.