If you want to Cutover migration to Office setup 365, then you need to follow the complete process :
How to Start the Cutover Migration Batch?
In the Exchange admin center, go to Recipients > Migration.
On the migration dashboard, select the batch and then choose Start.
If a migration batch starts successfully, its status on the migration dashboard changes to Syncing.
After the migration is done, the sync status is Synced.
Get office 365 setup here : office.com/setup
How to Route Email Directly to Office 365?
Email frameworks utilize a DNS record called a MX record to make sense of where to convey messages. Amid the email relocation process, your MX record was indicating your source email framework.
Moving the MX record will likewise give you a chance to kill your old email framework when you’re prepared.
For some DNS suppliers, there are particular directions to change your MX record. On the off chance that your DNS supplier is excluded, or in the event that you need to get a feeling of the general bearings, general MX record guidelines are given too.
It can take up to 72 hours for the email frameworks of your clients and accomplices to perceive the changed MX record. Hold up no less than 72 hours before you continue to the following errand: Delete the cutover relocation bunch.
For more details, visit : www.office.com/setup