As well as followers, you can also transfer your other data when changing instances.
✅ To transfer your Mastodon follows, mutes, blocks etc, use the Import/Export feature:
1️⃣ On your OLD Mastodon account go to Preferences > Import And Export > Data Export and download the relevant files for what you want to transfer.
2️⃣ On your NEW Mastodon account go to Preferences > Import And Export > Import and upload the files you just downloaded from the old account.
No, it won't do that.
(I don't know whether that's a technical difficulty, or whether there are issues about content moderation on an instance with different rules.)