Most Oracle environments I have worked on require sourcing of the environment variables for each DB as the SID is not the only thing to change.
So for each DB we have a env file and prior to working on said DB we do the following:
This sets our environment as required and away we go
If you actually mean you are changing the actual SID value regularly, which is dangerous for several reasons, you may wish to write a script to do the change and update the associated
env file