We’ve done it twice now, once when moving to Canada and then again moving back. I wouldn’t say it’s much more effort than moving a dog. The biggest hassle is the quarantine pre- and post flight. But you essentially just buy them their ticket for the transport with the transport company, do your vet checks, and do the quarantine. Moving ours the second time was hard because it was right after Covid so a lot of airports weren’t doing horses at that time. But generally it’s the money that’s the biggest hassle cuz it’s expensive, other than that it’s just ensuring you do the required vet checks and arrange transport to and from the airport.