If you're moving to another server, follow the entire procedure below to transfer both your followers (people who follow you) and your follows (people you follow) to your new account:
➡️ https://fedi.tips/transferring-your-mastodon-account-to-another-server
This also transfers bookmarks, mutes and blocks. Posts stay behind, but they will redirect to your new account.
Some have been using a shorter procedure which only covers followers, and then been surprised that their follows are gone. Don't worry, you can still transfer your follows!