Having questions for Chicago Apartments Short Term Rental OR Chicago Short Term Housing? Read the ultimate guide to Furnished Short Terms Rental Apartments in Chicago. Short-term rentals feel more like home and they have amenities that allow you to continue on with your routine without disruption. However, finding a good, fully furnished short-term rental can be difficult, if not overwhelming. In this article, weâ??ll provide you with the ultimate guide to Chicago furnished Apartments short-term rentals.