The solution begins by defining user requirements, targeting homeowners and interior designers who seek to visualize their kitchens and find compatible furniture pieces. The user interface should feature a clean layout, allowing users to easily navigate through options and apply filters for styles, colors, sizes, and materials. The combinator should incorporate compatibility rules to ensure that selected furniture pieces fit together harmoniously while providing dynamic suggestions based on user choices. Visualization tools, such as 3D modeling and customizable color/material swatches, will enhance the user experience.