The MeteoSwiss App automatically displays your five most-used places on the home screen. These are places you have searched for and use often, or places where you have been (only with active location services). If you no longer want one of these places to display on your home screen, you can swipe it left to remove it. An exception to this is your current location (with active location services).
You can also manually add set locations and adjust their order in the settings under ‘Your Places’.
If you do not want the app to make location suggestions, you can disable ‘Places based on your usage’ here.