Based on your requirements, it seems you're looking for a way to use the YouTube API for personal use without going through the extensive review process required for public applications. Unfortunately, there isn't a built-in way to restrict API access to local use only in the YouTube API.

However there is be a workaround for your needs:

1. You can use the YouTube Data API v3 with OAuth 2.0 authentication for your personal Google account.
2. This method allows you to create a project in the Google Developers Console and use the API without going through the verification process, as long as you're the only user.

Here's how you can set this up:

1. Go to the Google Developers Console.
2. Create a new project.
3. Enable the YouTube Data API v3 for your project.
4. Create OAuth 2.0 credentials (Client ID and Client Secret) for a desktop application.
5. Use these credentials in your application.

First of all you need a method to handle OAuth 2.0 authentication then you just need to add a method for uploading videos.

Here's a example how you can implement a YouTubeAPI class in python to include a video upload method:

from googleapiclient.http import MediaFileUpload

class YouTubeAPI:

    def upload_video(self, file_path, title, description, category_id, privacy_status='private'):
        body = {
            'snippet': {
                'title': title,
                'description': description,
                'categoryId': category_id
            },
            'status': {
                'privacyStatus': privacy_status
            }
        }

        media = MediaFileUpload(file_path, resumable=True)

        request = self.youtube.videos().insert(
            part='snippet,status',
            body=body,
            media_body=media
        )

        response = request.execute()
        return response

Then you can add a new endpoint to handle video uploads. This setup allows you to use the YouTube API for personal use without going through the extensive review process. However, keep in mind:

1. The API quota is limited for unverified apps.
2. This should only be used for personal projects where you're the only user.
3. You'll need to handle the OAuth flow manually

Include the necessary packages:

google-api-python-client
google-auth-oauthlib
google-auth-httplib2

as long as you're the only user of the application this solution can allow you to upload videos programmatically while avoiding the extensive review process. Good luck :)

Yes, you can use Youtube API to let your users upload videos, create and manage playlists, and more from your website, I am not sure if they will or won't notice it's getting uploaded on Youtube.

What you need:

You need a Google Account to access the Google Developers Console,
request an API key and register your application. Create a project in
the Google Developers Console and obtain authorization credentials so
your application can submit API requests. After creating your project,
make sure the YouTube Data API is one of the services that your
application is registered to use: Go to the Developers Console and
select the project that you just registered. Open the API Library in
the Google Developers Console. If prompted, select a project or create
a new one. In the list of APIs, make sure the status is ON for the
YouTube Data API v3. If your application will use any API methods that
require user authorization, read the authentication guide to learn how
to implement OAuth 2.0 authorization. Select a client library to
simplify your API implementation. Familiarize yourself with the core
concepts of the JSON (JavaScript Object Notation) data format. JSON is
a common, language-independent data format that provides a simple text
representation of arbitrary data structures. For more information, see
json.org.

If you need additional information visit the official documentation