Moving to Japan with a dog.

This is my six-year-old Pembroke Welsh Corgi, Mint. I may be moving to Japan as soon as 13 months from now, and I've been trying to find out about how to move him with me. I've found some helpful information about how to avoid long quarantines and how to prepare for a plane trip with him, but I've only seen information about actual airlines that go between North America and Europe. I'm wondering if anyone has any experience with taking a dog big enough to not be able to ride in the cabin to Japan and what airlines they used!