Transfer server objects only the if data is updated in the source table SSIS-package implementation

Hi,

I have around 40 source table on server A.

I will be using 4- TSO (Transfer Server Object) tasks,split for 10 tables each to transfer the data to server B as below in the pic.(will be a truncate and load).

But I want to run this seq container only if the data on the source table has been updated.There is a field-'dateofupdation' in every table which changes as the data is updated.

So can anyone please advice me on the setup of package/precedence constraint?

Thanks in Advance

Jenni