Good advice from previous posters in all aspects. I've gone from D3 and D300 to D4 and D800E with an easy transition. I have used FoCal for AF Fine Tune with each lens on each body and believe in the improved tuned results.
I would add though that technique will indeed make an improvement with pixel peeping at 100%. My experience for shutter speed when hand held would be to increase the 1/focal length to 1.5 or 2/focal length depending upon subject. Images from tripod are nothing less than spectacular ... I love printing large 20x30ish on the Epson 7900.