When someone is looking for a space that is more well furnished, they are typically seeking an atmosphere that is stylish, comfortable, and equipped with all the necessary amenities. Synonyms that come to mind include: lavishly decorated, fully-equipped, well-appointed, elegantly furnished, opulently adorned, superbly outfitted, luxuriously appointed, and stylishly furnished. These words all convey a sense of sophistication and comfort that is highly desirable in a living or work space. Of course, the exact synonym that best fits the situation depends on the context in which it is used, as well as what the person seeking the space is looking for specifically.