I am with Larry on this, if you go FX, preferred lenses for that field of view would be a compromise on DX for a walk-around. I would also suggest the 18-105 as a very competent lens that is cheap and close enough to the 16-85 to allow you to save for what you really want later on with FX.
A 35 1.8 is a very useful utility lens and not expensive as a second lens in the light weight walking around kit.
The problem with mid slow zooms(18-55, 18-105, 16-85, 18-200) is that you really will not notice striking difference between any of them, they are all decent. You will have to go to more specialized lenses to see a difference, and more specialized lenses are usually more limited in the range of situations where they are needed or where they shine.
Getting lost in the question about lenses is the real question...how to improve your D7000 images. What is wrong with them now? The d7000 is capable of taking almost any image hanging on gallery walls today. It is an excellent camera so maybe there is something specific you are wishing to address, some problem you see that a lens might help, but odds are that it will not. The best bang for the buck with any kit addition is lighting. Do you have a good speed light or several? Even in daylight shooting dramatic improvements in creative options become available. A scene with great light trumps great lenses or bodies. Learning to use augmented lighting to accomplish your goals is one of the most rewarding skills in photography. Can you post an image that illustrates the problem you are concerned about? Stan St Petersburg Russia