If you want to migrate your mailboxes from on-prem to o365 full cloud, you could use the cutover migration method.
For the step-by-step guide, we could Use the Microsoft 365 and Office 365 mail migration advisor, make sure you using A Microsoft 365 or Office 365 account with Global administrator permissions for this tool.
And the links below also provide detailed steps introduction:
Cutover Migration from Exchange 2016 to Office 365 (Part 1)
Cutover Migration from Exchange 2016 to Office 365 (Part 2)
Please Note: Since the web site is not hosted by Microsoft, the link may change without notice. Microsoft does not guarantee the accuracy of this information.
The most important point Exchange can safely be removed is that directory synchronization is not being used: How to Decommission an Exchange Server After Office 365 Migration
And the official document: How and when to decommission your on-premises Exchange servers in a hybrid deployment
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