Children’s Book Webshop Development

I need a new website that captures the same warm, child-friendly feel as https://magicalchildrensbook.ie/ — but the only core function I require is a fully-featured online shop. I will be selling printed books only, and every order will be fulfilled automatically by my chosen print-on-demand company, so the site must pass order details straight to that provider and update customers with tracking information.

Key expectations
• Clean, responsive design that mirrors the playful style of the reference site.
• Secure payment gateway integration (Stripe, PayPal or a similarly trusted option).
• Product catalogue for printed titles with variants such as hardcover / paperback if needed.
• Automated hand-off to the print-on-demand partner, including real-time shipping rates where possible.
• Basic CMS access so I can add new titles, adjust pricing and view orders without developer help.

Please let me know:
1. Your proposed platform (Shopify, WooCommerce, bespoke, etc.) and why it suits this project.
2. A realistic timeline with milestone breakdown.
3. Total cost and what is included (theme, plugins, post-launch support).

If you have built similar book or POD storefronts before, links to live examples will help me shortlist quickly.