Hello @Sundar Sriram Garimella ,
Welcome to the MS Q&A platform.
Please correct me if my understanding is wrong. You want to know the process of moving/Migrating ADF, Azure SQL, and Azure logic apps from one subscription to another subscription in the same tenant.
For ADF: You can move the Resource group and Subscription from the portal if your resources are on the same tenant.
https://learn.microsoft.com/en-us/azure/azure-resource-manager/management/move-support-resources
If you want to move resources from one tenant to another tenant, you can use "export template" option
documentation: https://learn.microsoft.com/en-us/azure/azure-resource-manager/templates/export-template-portal
The same documentation has details on other resources too.
I believe for SHIR, you don't need any additional steps if you move the ADF via resource group/subscription move option.
In case if you see any issues, you need to re-register the authentication key.
Please let me know if you have any further questions.