While the Stories view is most significantly affected by enabling the Teams feature, you will note a few other changes throughout your UI once you are using Teams.
The Status Page
Much like the Stories page, the Status Page will be Team specific and can be changed by the Team switcher in the upper left-hand corner.
The Teams relationship is derived from Story Ownership. If an Organization member owns a Story in the Story, they will appear on that Team's Status page.
The Epics and Reports Page
On the Epics and Reports page, you can use the Project filter to narrow down your view to the project(s) on one Team.
The Projects Page
Projects will now be separated by Team. You can also add new Projects to the Team from this page by clicking the Create Project in this Team button.