How to migrate data from WooCommerce to Prestashop using LitExtension tool: http://litextension.com/prestashop-migration-tool/woocommerce-to-prestashop.html
If you are looking for quick, simple, cheap way to migrate all important data from WooCommerce shopping cart to Prestashop, LitExtension Migration Tool is a good solution. Migrate to Prestashop allows you to migrate products, categories, customers, password, orders, URL SEO ranking, custom field, taxes, reviews and other data from WooCommerce to Prestashop. The process is straightforward and requires no technical knowledge.