Based on all the posts you've made on this thread I'm going to stick my neck out a little bit and suggest you might be happiest with prime lenses. That's not an iron-clad sort of thing, I'm not saying you won't find joy in a zoom lens but I get the impression you are going to find you're a Primes Guy.
Some of my favorite primes for the D7100 are the Sigma Art Series lenses (35mm f/1.4 & 50mm f/1.4) but these are eight or nine-hundred dollar lenses. Still, they're magnificent and once you've tasted them, nothing else will satisfy.
The Nikon 35mm, 50mm and 85mm f/1.8 G series of lenses are all very, very good and cost much less. You could also use the older "D" variants of the 35mm or 50mm and probably save a few bucks. I would steer you toward the 35mm f/1.8G or the 35mm f/2 D for your first prime. Others will suggest the 50mm which is also a very solid choice (the 35mm vs 50mm prime is a ongoing debate
a la Ford vs. Chevy). I don't have a strong opinion on this particular issue, but given my druthers I will say I prefer the 35mm over the 50mm because I can always crop to the smaller, 50mm field of view, but I can't widen a 50mm shot to match the 35mm field of view. Other than that, I'd say these two are equally matched.
Another awesome prime that won't break the bank is the previously mentioned Nikon 85mm f/1.8G; this is just a great, general purpose sort of lens to have in the bag.
Oh, and thank you for the compliment on "Welcome to the Machine, Part II".