To be honest, I'm a bit confused by your lens choices. First you say you're planning on buying the AF-S VR Zoom-Nikkor 70-200mm f2.8G IF-ED lens. Then you say you'd like the AF-S DX VR Zoom-Nikkor 18-200mm f3.5-5.6 IF-ED lens for "daily use".
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.
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.