I’m selling on both Amazon and Ebay while having LitCommerce sync orders for me, and it is running smoothly I guess. This feature is sort of easy to use and convenient; it syncs all my orders from both Amazon and Ebay to my LitCommerce dashboard and I will manage all my order information there. I used to route all orders to my Ebay store as well after the orders arrived at my LitCommerce dashboard, but these days I only stop at the dashboard.
I remember they do support Shopify and Wix too. Just pick Shopify as your main store and Amazon and Ebay as a sales channel during the setup.
I have just upgraded my pricing plan and I think their services don’t cost too much compared to other tools. Just chat with them and see if they have a suitable plan for you.