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Depends on what you're doing. If you're running conferencing, there's no data to migrate, so it should be possible to move to somewhere with reasonable bandwidth costs and save money easily, if it's just vms.

If you're doing media sharing, maybe don't migrate data all at once, but upload new stuff to the new place, and at some point move downloads of old stuff on demand: users make request to new place, new place fetches from old place, saves and sends to user --- you were going to pay that egress to users anyway and now you won't have to pay it again.

If you've amassed a giant database that would otherwise never leave, then yeah, that's going to be expensive to move... But maybe you can get a free egress to leave offer?

Note that I think Hetzner includes 'unlimited' egress on dedicated machines, not on cloud vms; but their per TB prices are much more reasonable than big cloud's per GB prices.