A very detailed case study (not mine) on a migration from Magento to Shopify, at https://www.ecommercefuel.com/shopify-vs-magento/

This is something we are also doing more and more of, at work, and it’s great to see details about the rationale, the experience, the pros and cons.

We also use cart2cart for migration, and it was interesting to hear about the order date issue. The GEOIP shipping cost estimator and search functionality sounded great.