What are the best practices for migrating a Bitbucket Server repository to Bitbucket Cloud?

I’m planning a migration from Bitbucket Server to Bitbucket Cloud and want to make sure the process goes smoothly. I’m particularly interested in best practices for preserving repository history, branches, pull requests, permissions, and other important project settings.

Are there any common migration issues I should be aware of before starting, and is there a recommended order of steps for a small project?