Reddit mentions of The Sophists

Indeed it is feasible! I must warn you, this will be a wall of text with no TL;DR version:( Also, I am not a philosophy major or something, I am however active in the humanities, let's put it this way without divulging too much.

So, the very first thing I personally think is of the utmost importance is this: in order to understand a part of the ancient greek culture (which would, by default, be your main focus, without it being the sole one), one has to get a feel (the feels!) of the culture on the whole. I say this, because ancient Greece is a sum of an enormous array of "separate" parts that together constitute the whole. Philosophy was of equal importance to mathematics, in fact they were taught as one body of knowledge, hence you have eg. Aristotle offering philosophical, as well as scientific observations and treatises. This extended also to everyday life, as an example: Sophocles was both a playwright (obviously), but he was also the treasurer of the erection of the Parthenon (ie. he budgeted Phidias and checked all others!), because of the athenian notion of civic virtue, which, in turn, reflected this "synthetic" culture.

The next point, and for me, a crucial one: approach this with earnestness, but also with joy and expect to be seduced and amazed. I mean this, when I say it is crucial, as personal as it may sound. The Greeks loved beauty and light and life. Their biggest virtues were kleos and schole. Kleos could be translated as glory and schole was their much loved and revered activity of having the time and freedom to take long strolls in beautiful landscapes and just absorb and observe and discuss with each other. This was a very serious and important, as it was pleasant, activity for them.

Those two points briefly discussed, here are some titles. I would recommend a wonderful book by W.K.C. Guthrie, called "The Sophists". It may seem that it is limited to well..the Sophists, however in his introduction he outlines the main philosophical schools that preceded the Sophists (ie. Pre-Socratic, Socrates/Plato etc), as well as describing the larger cultural frame that gave birth to them (s. also my previous points). The Sophists themselves are of great importance, they will give you all those persuasion tools, the pros and cons to use them etc etc etc that were talked about in the previous posts (that is, here on Reddit).

I think it will give you a very good start in understanding both the culture, as well as the individual schools, from which point onwards you could even start to read them one after the other. I would recommend to read primary sources (ie the original texts in translation, for that I can point you the MIT Classics Archive and the Fordham Internet History Sourcebooks, which have all the primary texts in good translations as well as some brief articles and intros, mainly Fordham).

Should you be interested in the ancient Greek civilization as a whole, a wonderful, albeit big book, is Andre Bonnard's "Greek Civilization". For the arguments against Greeks (in terms of racism, slavery, misogyny etc): Bernard Knox "The Oldest Dead White European Males" (which is also extremely pertinent to this sub-reddit, you will see why, if you read it).

So, this would be a rudimentary but good start a think. All books proposed are scholarly, but, trust me, they are a joy to read! And anything you want, tell me. I hope I was able to give you something of value:)

EDIT for hyperlinks (first time ever, so I hope it works!) and typos etc.