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PrestaShop 9 is effectively still in a beta state, regardless of official messaging. The practical recommendation is to either wait for 9.1 or use the latest stable PrestaShop 8.x release. In this cycle, PrestaShop released what would traditionally have been developer-only builds directly to the public, which increases risk for production use.

My recommendation and I have deep experience in migrating into PrestaShop all sorts of platforms including custom built systems.  hope this helps

For Magento 1.9 → PrestaShop 8/9, the most reliable approach is a staged migration using a proven tool, followed by a delta migration at go-live.

Tools commonly used

• Cart2Cart
• LitExtension

How it works

• Set up a staging PrestaShop (8.1/8.2 recommended).
• Run a full dry-run migration (products, categories, attributes → combinations, customers, orders).
• Validate mappings and complete theme, payments, shipping, SEO on staging.
• Just before launch, run the tool’s delta migration to pull new customers/orders.
• Switch DNS and verify.

Why this is best

• Multiple test runs without affecting production.
• Magento stays live while PrestaShop is finalized.
• Delta migration minimizes downtime and data loss.

Notes

Customer passwords usually require reset.

SEO needs URL mapping + 301 redirects.

This approach is the lowest-risk and most predictable way to migrate Magento 1.9 to PrestaShop.

NOTE:  PS9 is in beta form, no matter what they tell you.  So you should either wait for 9.1 or use latest ps 8.  PrestaShop this time released what would have been developer only versions to the public.