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 :)