Several genealogy programs have mapping functionality built into them e.g. Family Historian

If you want something more flexible try the Open Source GIS solution QGIS Once you have it installed there are plenty of tutorials to familiarise yourself. It has the ability to import data from say a CSV file, or perhaps a track in KML.

If you want to go further there has been a lot of work done to use it for mapping migration. A good starting point for resources to do that are here. There is a video and even a few QGIS plugins for flow mapping.