In effect, you are duplicating focal lengths after 70mm on the 18-200mm lens. Plus, the 18-200mm is a variable aperture zoom which means you lose 1 1/3 stops from f3.5 to f5.6. So if you’re shooting at 18mm with the lens wide open at f3.5 and getting a shutter speed of 1/125 sec. and then zoom to 200mm your shutter speed will drop to ~ 1/42 sec.

Another thing to consider with the Nikkor DX lens is that if you should ever upgrade to a full-frame (FX) sensor Nikon, the DX format will still only cover the smaller DX sensor.

I offer these alternative zoom lenses for your consideration:

AF-S Zoom-Nikkor 24-70mm f2.8G ED

AF-S Zoom-Nikkor 17-35mm f2.8D IF-ED

I would also include the new AF-S Nikkor 50mm f1.4G as part of your kit. This is an especially good choice if you want to try low-light, non-flash photography. At 2 full stops faster than an f2.8 you can use a lower ISO and reduce digital noise. If you were in a low-light situation using ISO 800 with the f1.4 and getting a shutter speed of 1/60 sec., at f2.8 you’d either have to try hand-holding at 1/15 sec. or increase your ISO to 3200 (f2.8 being 2 stops slower than f1.4 and ISO 3200 being 2 stops faster than ISO 800) to achieve a 1/60 sec. shutter speed.

You may be less than thrilled with the idea of a 2 or 3 lens kit but back in the old days it was common to carry 5 to 7 lenses – back when zooms were of low quality and less desirable than today’s incredibly competent zooms.

I’ll admit to a personal bias for fast lenses and constant aperture zooms. If it were my choice I’d choose the 17-35mm f2.8, the 50mm f1.4 and the 70-200mm f2.8.
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37 + years of enjoying and learning about photography. I never want to lose lens speed as I zoom and believe duplicating focal lengths is non-productive and wastes money.