The term 'Big Name in Furnishings' can be summarized by two crossword solutions: DECOR (5 letters) and IKEA (4 letters). DECOR is a company that specializes in home furnishings, offering a wide range of products from furniture to lighting. IKEA is a Swedish-founded multinational group that designs and sells ready-to-assemble furniture, kitchen appliances, and home accessories. Both companies are well-known for their stylish and affordable products, making them popular choices for furnishing homes.