Begin by setting up API access to Stripe. Log in to your Stripe account and navigate to the Developers section to find your API keys. You’ll need the secret key for server-side requests. Ensure you have the necessary permissions to read the data you intend to move.

Ensure your development environment is ready by installing necessary libraries. For Python, you can use:
```bash
pip install stripe pymongo
```
`stripe` is used to interact with Stripe's API, and `pymongo` is used to interact with MongoDB.

In your script, initialize the Stripe and MongoDB clients using the libraries installed:
```python
import stripe
from pymongo import MongoClient

# Initialize Stripe client
stripe.api_key = 'your_stripe_secret_key'

# Initialize MongoDB client
client = MongoClient('mongodb://localhost:27017/')
db = client['your_database_name']
collection = db['your_collection_name']
```

Write a function to extract data from Stripe. Depending on your needs, you might extract customers, charges, or subscriptions. For example, to fetch customers:
```python
def fetch_stripe_customers():
customers = stripe.Customer.list(limit=100)
return customers.auto_paging_iter()
```

Stripe’s data structure might need adjustments before saving to MongoDB. Prepare a function to transform the data as needed:
```python
def transform_customer_data(stripe_customer):
return {
'_id': stripe_customer['id'],
'name': stripe_customer['name'],
'email': stripe_customer['email'],
'created': stripe_customer['created'],
# Add more fields as necessary
}
```

Loop over the fetched data, transform it, and insert it into MongoDB:
```python
def load_data_to_mongo():
for customer in fetch_stripe_customers():
transformed_data = transform_customer_data(customer)
try:
collection.insert_one(transformed_data)
except Exception as e:
print(f"Error inserting {transformed_data['_id']}: {e}")

load_data_to_mongo()
```

After loading the data, verify its integrity. Check for the number of records and spot-check key fields to ensure data accuracy. You can query MongoDB to count documents and fetch samples:
```python
count = collection.count_documents({})
print(f"Total documents in collection: {count}")

sample = collection.find_one()
print("Sample document:", sample)
```

By following these steps, you can effectively move data from Stripe to MongoDB directly using your own script and avoid the need for third-party connectors or integrations.