E commerce website pos system

Hi. Our current WIX site is www.northeastteahouse.com. We actually like it a lot. However we now need to add online ordering - both for goods we'll be selling through the site (shipped and for in-store pick-up) and for ordering drink and food items from a menu for in-store pick-up. We're going to be using Square for POS in the store and would like to link the WIX "store" to our Square system. I can send detailed information on the food and drink menu if helpful, but basically we'll be offering Tea Service, Matcha Service and Daily Tea Specials (with multiple options within each category), in addition to a variety of baked goods that would fall in 4-5 different categories, with multiple items within each category We don't have to use Square but open to considering other in-store POS systems.