Before you begin, familiarize yourself with the Breezometer API documentation. Identify the endpoints you need to access for the specific data you want to transfer. Note any required API keys or authentication processes.

Ensure you have an active Breezometer API key. This is essential for authenticating your requests. Test your API access using a tool like Postman or curl to ensure you can retrieve the necessary data.

You will need Python to script the data retrieval and insertion process. Install the `requests` library for handling HTTP requests and `pymysql` for interacting with MySQL:
```bash
pip install requests pymysql
```

Write a Python script to send a GET request to the Breezometer API endpoint. Use the `requests` library to handle the HTTP request and parse the JSON response. Here’s a basic example:
```python
import requests

api_key = 'YOUR_API_KEY'
url = f'https://api.breezometer.com/air-quality/v2/current-conditions?lat=LATITUDE&lon=LONGITUDE&key={api_key}'

response = requests.get(url)
data = response.json()
```

Set up your MySQL database and create necessary tables to store the Breezometer data. Determine the schema based on the JSON structure you receive from the API. Use a MySQL client or the command line to create the table:
```sql
CREATE TABLE air_quality (
id INT AUTO_INCREMENT PRIMARY KEY,
datetime DATETIME,
aqi INT,
category VARCHAR(255)
);
```

Extend your Python script to insert the fetched data into your MySQL database. Use the `pymysql` library to establish a connection and execute SQL insert statements:
```python
import pymysql

# Establish a database connection
connection = pymysql.connect(host='localhost',
user='your_username',
password='your_password',
database='your_database')

try:
with connection.cursor() as cursor:
# Insert data into the database
sql = "INSERT INTO air_quality (datetime, aqi, category) VALUES (%s, %s, %s)"
cursor.execute(sql, (data['data']['datetime'], data['data']['indexes']['baqi']['aqi'], data['data']['indexes']['baqi']['category']))

connection.commit()
finally:
connection.close()
```

To ensure the data is regularly updated, automate the script using a scheduler like cron on Linux or Task Scheduler on Windows. Set it to run at an interval that suits your data update needs, such as every hour or daily.

By following these steps, you can efficiently transfer data from Breezometer to a MySQL database without relying on third-party connectors or integrations. Adjust the script and database schema as needed to match your specific data requirements.