Unsolicited advice, Part Deux: Choosing a grad school

Our first installment of unsolicited advice concerned the difficult question of how to get into graduate school; this one presumes that one has successfully leapt the hurdles of GRE's and ornery admissions committees, and is faced with the perilous decision of which offer to accept. (If one has either one or zero offers, presumably the decision-making process is somewhat easier.) We will not, at the moment, be addressing whether you should be going to graduate school in the first place, or how to succeed once you get there. This is a much more difficult task than the first installment. Not that it's more difficult to decide where to go than to get into grad school in the first place; just that it's much more difficult to give sensible advice about how to do it. When it comes to getting into grad schools, everyone agrees on the basic notions: good grades, ...