Familiarize yourself with the TVmaze API, particularly the schedule endpoint. The endpoint URL to fetch the schedule data is usually structured as `http://api.tvmaze.com/schedule`. You’ll need to understand the data structure it returns, which is typically in JSON format.

Ensure your development environment is ready for HTTP requests and JSON handling. You can use languages like Python, JavaScript (Node.js), or any other that supports HTTP requests and JSON parsing natively.

Write a script to perform an HTTP GET request to the TVmaze schedule endpoint. In Python, you might use the `requests` library, while in JavaScript, you could use `fetch` or `axios`. This request will retrieve the schedule data in JSON format.

After fetching the data, parse the JSON response to convert it into a usable data structure in your chosen programming language. This will typically involve converting the JSON string into a dictionary or an object, depending on the language.

Optionally process or filter the data to meet your needs. You might want to focus on specific fields such as show names, times, and channels. This step is crucial if you want the JSON file to contain only a subset of the original data.

Once the data is prepared, write it to a local JSON file. In Python, you can use the `json` module to dump data into a file. In JavaScript, you might use `fs.writeFileSync()` to write the JSON data to a file on your local system.

If you need to update this data regularly, automate the script using a task scheduler. On Linux, you could use `cron`, while on Windows, you might use Task Scheduler. This will allow you to run the script at regular intervals and keep your local JSON file updated with the latest schedule data.

By following these steps, you can efficiently move data from the TVmaze schedule to a local JSON file without relying on third-party connectors or integrations.