Chicago is an inclusive city that provides a variety of places of worship and cultural amenities. I provided some websites below but I’m also happy to provide more specific information based on what you’re looking for:
Religious Sites in Chicago: https://www.tripadvisor.com/Attractions-g35805-Activities-c47-t10-Chicago_Illinois.html
Various International Grocery Stores and Markets: http://fourteeneastmag.com/index.php/2019/06/21/your-introductory-guide-to-international-grocery-shopping-in-chicagos-north-side/