Before you can move data to RabbitMQ, ensure you have a RabbitMQ server up and running. Install RabbitMQ on your server or local machine following the official RabbitMQ installation guide. Once installed, start the RabbitMQ service and verify that it's running by accessing the RabbitMQ Management Console at `http://localhost:15672`.

Register for an API key through the Guardian Developer website. This key will be used to authenticate your requests to the Guardian API. Ensure you understand the rate limits and other restrictions that apply to using the API.

Install Python on your system if it is not already installed. Set up a virtual environment to manage dependencies. Within this environment, install necessary libraries such as `requests` for making HTTP requests and `pika` for interacting with RabbitMQ. You can install these using pip:
```
pip install requests pika
```

Write a Python script to make a GET request to the Guardian API using your API key. Use the `requests` library to handle the HTTP requests. Parse the JSON response to extract the necessary data. Here is a basic example:
```python
import requests

api_key = 'your_guardian_api_key'
url = f'https://content.guardianapis.com/search?api-key={api_key}'

response = requests.get(url)
data = response.json()
# Process and extract data as needed
```

In the same Python script, establish a connection to RabbitMQ using the `pika` library. Create a channel and declare a queue where the data will be sent. Here is a sample code snippet:
```python
import pika

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

Format the extracted data into a message suitable for RabbitMQ. Use the `basic_publish` method to send messages to the RabbitMQ queue. Ensure that the data is serialized into a string format, such as JSON, before sending.
```python
import json

message = json.dumps(data)
channel.basic_publish(exchange='', routing_key='guardian_data_queue', body=message)
```

Once the data is published to RabbitMQ, verify that it has been successfully inserted into the queue by consuming the messages. Use a separate Python script to connect to RabbitMQ and consume messages from the queue to ensure data integrity and successful delivery.
```python
def callback(ch, method, properties, body):
print("Received %r" % body)

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

By following these steps, you'll be able to move data from the Guardian API to RabbitMQ without the need for third-party connectors or integrations.