You can share it with everyone, just a select group of people, or no one at all you'll keep it just for yourself.
When you create a list and add items to it, you have the option to make that list available to other people.
Here's how to share your Wish List or any other list using the Amazon website or app.
This is entirely up to you, depending on your level of comfort.
Don't worry about the checkout process—it uses the regular procedure.
Provide details and share your research! Find the item you want to add to your wish list.