Hi,
If you go to the Azure portal and go to Monitor. On the left you will see Storage Accounts. This will present you with a workbook where you can select the Storage Accounts and the time range. Once selected you will see all the metrics for those accounts in the last x days along with the transactions they have received. Additionally this data can be exported to Excel via this view.
If you have set rules on these storage accounts for moving to cool and archived tiers then I'd recommend looking at https://learn.microsoft.com/en-us/azure/storage/blobs/lifecycle-management-overview. This would allow you to setup these rules so that they automatically happen. It might be possible to use something like Azure Policy to apply these rules automatically but that is out of the range of knowledge I have.
Hope this helps.