I'm not sure you need to agonise so much over this question...!Of the three lenses (18-105mm DX, 24-120mm f/3.5-5.6 and Sigma 18-200mm), I would expect the 18-105mm to produce the best results under average circumstances. It's the one I would choose for a trip You might like to check out out Nikkor Lenses Forum for more information on that part of your question.
BrianWelsh NikonianCheck out the Nikonians Team pages
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