Each member of a team, can be given access to all the rentals of the team, or part of them. The only exception to this is the Team Owner, who has access to all rentals. This rentals setup applies to both the website and the mobile app. This way, rental owners can now access to the website and see information related only to their propetries.
If you want to setup the rentals' access to somebody, you must be Administrator or Team Owner. Then, go to the "Team Members" view (inside the "Home" section of the website), click on the "Permissions" button of a user, select the rentals the user might be given access to, and hit the "Save" button. Be aware that you can use the "Select all rentals" button to give access to all rentals to that user. Then click "Save" also. You also have a nice rentals search bar, where you can type, for instance, the city name of a group of rentals and click the "Select" button of the search bar. This way you will select all the rentals in that city!
Once you have changed the Rentals' access to a user, to make this changes effective, the user must close the mobile app and reopen it again (no need to logout). In fact, mobile phones close apps after certain time of not using them, so changes will be applied anyway after certain time.