Migrate project from Jira Server to Jira Cloud (and QaSpace to Zephyr Squad)

Hello,

We are planning to migrate 1 project from Jira Server (v8.20.11) to Jira Cloud. Currently the team are using QaSpace Test Management tool (on Jira Server), but on Jira Cloud (which is destination for migration) we are using Zephyr Squad tool.

Could you recommend us some specific steps that should be taken in order to do the migration smooth and avoid a lot of manual adjustments after migration?