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I don't recommend Magento, because I am a Prestashop person. But at the same time, one feature of Magento (and Prestashop) is that you can manage two separate shops at two domains from the same back office. If it were me, I would run both. The puzzle site is more targeted to puzzles, the toy site is more targeted to toys. Each has their own place in the market and can stand alone. It actually will give you a good ground to test the sites against each other.

Thank you for sharing this blog post.