I need help transferring the entire data from my PHP website's SQL database into Shopify. This includes all product categories, hierarchical structures, and associated media files. Additionally, I require dynamic pricing or discount rules to be replicated accurately in Shopify. The data must be imported seamlessly, maintaining the correct format and structure to ensure compatibility with Shopify. Experience in similar migrations is crucial, so please share examples of your past work, particularly involving Shopify or equivalent platforms. This project needs to be completed as quickly as possible while ensuring data integrity and functionality throughout the transition.