WordPress Physical Products Store

I’m launching an online shop that will sell tangible items which need to be packed and shipped out to customers. The site must be built on WordPress with WooCommerce (or another solid e-commerce plugin if you can justify the choice) and set up ready for me to add inventory and start taking orders.

Core requirement
• An intuitive product catalogue with fast search and layered filters so shoppers can drill down by category, price, size and other attributes we define.

Nice-to-have extras (let me know if you can include them)
– Real-time shipping calculators
– Customer accounts with order tracking

Design & build scope
• Clean, mobile-first theme styled to match my logo and colour palette
• Essential pages: home, shop, product detail, cart, checkout, privacy / terms
• Payment gateway integration (PayPal and credit cards)
• Basic SEO setup, speed optimisation and security hardening
• Walk-through or short doc on how I update products myself

To be considered, please point me to past WordPress or WooCommerce stores you’ve built that demonstrate similar functionality. A concise note on how you’ll tackle the search & filters will also help me choose the right partner.