Begin by creating an account on TMDb and generating an API key. This key will be essential for making authenticated requests to TMDb's API. Visit the TMDb website, log in, and navigate to the API section to request an API key. Ensure you store this key securely as it will be used to fetch data programmatically.

Since we are avoiding third-party connectors, we'll leverage Python's capabilities. Install the necessary Python libraries using pip. Run the following commands:
```bash
pip install requests pika
```
`requests` will be used to interact with the TMDb API, and `pika` is the Python client for RabbitMQ.

Write a Python script to make HTTP requests to the TMDb API using the `requests` library. Construct a URL to fetch data, such as movie details or popular movies, and include your API key in the request headers or parameters. Handle the API response and parse the JSON data to extract the required information.

Install RabbitMQ on your local machine or server if it's not already installed. Follow the official RabbitMQ installation guide for your operating system. Once installed, ensure that the RabbitMQ service is running. You can verify this by executing:
```bash
rabbitmqctl status
```

In your Python script, establish a connection to the RabbitMQ server using `pika`. Create a new channel and declare a queue that will be used to send the data. Here's a basic example to connect and declare a queue:
```python
import pika

connection = pika.BlockingConnection(pika.ConnectionParameters('localhost'))
channel = connection.channel()
channel.queue_declare(queue='tmdb_data')
```

Serialize the fetched TMDb data into a JSON format and publish it to the RabbitMQ queue. Use the `basic_publish` method provided by `pika` to send messages. For example:
```python
import json

data = {'example_key': 'example_value'} # Replace with actual data
channel.basic_publish(exchange='', routing_key='tmdb_data', body=json.dumps(data))
```

Finally, verify that the data has been successfully transferred to RabbitMQ. You can create a simple consumer script to read messages from the queue and print them out. This will help ensure that the data is moving correctly from TMDb to RabbitMQ.
```python
def callback(ch, method, properties, body):
print("Received %r" % body)

channel.basic_consume(queue='tmdb_data', on_message_callback=callback, auto_ack=True)
print('Waiting for messages. To exit press CTRL+C')
channel.start_consuming()
```

By following these steps, you can efficiently move data from TMDb to RabbitMQ without relying on third-party connectors or integrations.