The most valuable preparation when changing platforms is knowing what you will migrate and what you will preserve.
Create an inventory
Take sample exports of products, variations, customers, orders, images and content. Learn the formats and data scope the old system can provide. Identify non-transferable fields at the start.
Map URLs early
List the pages and product URLs receiving traffic. Define their equivalents on the new website and prepare redirects. Choose appropriate handling for content being removed.
Final transfer and rollback
Decide where new orders will be created during launch. Assign responsibility for the final data transfer, domain switch and rollback steps if something unexpected happens.