How do I remove Cupertino’s weather info from my opening screen on my iPad, and replace it with my own location’s?

Presumably you refer to the Weather Widget that may be installed on your Home Screen.

Touch-and-hold the Weather Widget - and a menu will appear. Tap the Edit Widget button - and then Location. Either select a city close to you - or choose My Location.

You’re very welcome. Always delighted to help - and to achieve the desired outcome 🙂

Hello sabine80,

Welcome to Apple Support Communities. 

We understand that you want to add your location to the Weather app. We are happy to help.

Please use the steps here to add locations and delete locations from the Weather app: Check the weather in other locations on iPad - Apple Support

"Add a location to your weather list

You can add locations to the weather list to quickly check the weather in places important to you.

1. Open Weather, then tap  or turn your iPad to landscape view to display the sidebar.
2. Tap the search field at the top of the screen, then enter the name of the city or the airport code that you want to add to your list.
3. Tap the location in the search results, then tap Add.

To check the weather in locations you added to your weather list, swipe the iPad screen left or right, or tap , then tap a location.

Delete and rearrange locations in your weather list

1. Open Weather, then tap  or turn your iPad to landscape view to see your weather list.
2. Do either of the following:

• Delete a location: Swipe left on the location, then tap . Or, tap , then tap Edit List.
• Rearrange the order of locations on your list: Touch and hold the location, then move it up or down. Or, tap , then tap Edit List.

Your list of locations stays up to date across your devices when you’re signed in with the same Apple ID."

Let us know if you have further questions.

Take care.