In our Dev environment, I can see the search results by default go to a page within the site I did the search, for example:
Now, in the client environment they have a different site for the the search results:
This site was created even before we migrated the SP 2013 On-Prem to Online. It was configured in the OnPrem to search in the cloud.
So I was thinking I could create a Search Site from a kind of Search Site template, and then associate the search results to it from the sites I want.
I looked for that in SharePoint Admin but could not find any Search Site template.
Maybe it needs to be created from Office 365 Admin center?