Yes, you transfer your posts with export and import. Yes, your followers move automatically. They and you do not have to do anything.
(No idea about blocks, I think when this account moved I did not have blocks yet.)
After moving you can no longer toot at the old account. So I made one last toot there to announce that the account moved. I guess that is not necessary. The account profile explains this as well. Maybe it is helpful if your name also changes.
Fediscience is the social network for scientists.