To visualize and publish a data set as a flow map you need to have a Google account. Sign up here if you don't.
Follow these steps:
These tools might help you preparing and visualizing your data:
Can help you finding the geographic coordinates for locations if you only have their names in your dataset.
Use it when your movement counts are represented as an OD-matrix.
With this tool you can visualize OD-data directly in your browser without having to upload the data to Google Sheets.