The backend can be run locally, instructions here: https://github.com/paritytech/asset-hub-migration-monitor
Then you can specify the port in the hosted migration monitor at https://migration.paritytech.io
When paritytech/asset-hub-migration-monitor#10 is implemented, this could be done more easily by automatically opening a browser at https://migration.paritytech.io?backend_url=http://localhost:3000