Best advice I have seen so far regarding reading Caritas in Veritate.
11) It is quite likely that a person reading the encyclical will find himself challenged at various points, no matter what his native political instincts are. This is part of the pope’s intention. He wants to challenge everybody and shake them out of the uncritical political orbits that people find themselves sliding into. One should therefore avoid two mistakes in reading the document: (a) One should not casually dismiss things that seem to conflict with one’s previous views; this is the Vicar of Christ talking, and we need to take what he says seriously. (b) One should not simply seize on things that seem to confirm one’s prior views and absolutize them; there is a very substantial element of nuance to what the pope says, he is deliberately leaving room for legitimate diversity of opinion even as he makes certain proposals, and he is not attempting to engage his infallibility and thus is deliberately leaving much of what he says open to future revision.
12) The most constructive course is not to rush to conclusions regarding the encyclical but to read it, meditate on it, take a willing, open perspective, and allow oneself to be challenged by what it has to say, regardless of where one is coming from.
Another good bit of advice was Tom from Disputations who tweeted this “A corollary of the principle of subsidiarity: Do your own thinking.” (Yes you can say intelligent things on Twitter and not just tweet what you had for lunch.)