Begin by logging into your Datascope account. Once logged in, navigate to the section where the data you want to export is stored. This could be under reports, datasets, or any other relevant section depending on how Datascope is structured.

Locate the export option within Datascope. Most platforms allow you to export data in various formats, commonly CSV. Choose the CSV format for your data export. This typically involves selecting the data set you wish to export and clicking on an "Export" or "Download" button.

After initiating the export, download the CSV file to your local machine. Ensure that the file is saved in a directory where you can easily locate it for the next steps.

Open the CSV file using a spreadsheet program (like Microsoft Excel or Google Sheets) to inspect the data. Ensure that the data is correctly formatted and there are no issues such as missing headers or corrupted data, which could affect the JSON conversion.

Use a scripting language like Python to convert the CSV file to JSON. Here is a simple example using Python:
```python
import csv
import json

csv_file_path = 'path/to/your/file.csv'
json_file_path = 'path/to/output/file.json'

data = []
with open(csv_file_path, encoding='utf-8') as csvfile:
csv_reader = csv.DictReader(csvfile)
for row in csv_reader:
data.append(row)

with open(json_file_path, 'w', encoding='utf-8') as jsonfile:
json.dump(data, jsonfile, indent=4)
```
This script reads the CSV file and writes it as a JSON file.

Run the script on your local machine. Make sure Python is installed and properly configured on your system. This will generate a JSON file in the specified path containing your Datascope data.

Open the JSON file using a text editor or a JSON viewer tool to verify the data integrity. Check for any data conversion errors or formatting issues. If everything looks correct, your data is successfully moved from Datascope to a local JSON file.