Reddit mentions of Empiricism and the Philosophy of Mind

Quine's "Two Dogmas of Empiricism" and Sellars's "Empiricism and the Philosophy of Mind" might be decent places to start familiarizing yourself with analytic philosophy after the demise (in effect) of logical positivism.

In response to your first question, McDowell is saying that the Myth of the Given is the idea that the space of justifications or warrants extends more widely to the conceptual sphere. It's just his particular way of putting Sellars' point.

As far as book recommendations, I think what you're looking for is books in the tradition of the so-called "Pittsburgh School" of philosophy, a group of philosophers focused at Pittsburgh, heavily influenced by Sellars. Here's a comment from a while back where I talk about them.

For Sellars himself, the most obvious reccomendation is Empiricism and the Philosophy of Mind. This is widely considered Sellars' best work, and it is definitely his most influential.

The two most important living philosophers of the Pittsburgh School, both very influenced by Sellars, are John McDowell and Robert Brandom (Brandom is a student of Rorty).

I'd definitely recommend John McDowell's Mind and World.

Brandom's a bit trickier to recommend, since his magnum opus, Making It Explicit is a 700-page, very dense tome. He wrote an introduction, called Articulating Reasons, but a lot is lost in the simplification. A better option, if you want to get into Brandom, is Jeremy Wanderer's book Robert Brandom.

I'd also recommend Yo! and Lo! by Rebecca Kukla and Mark Lance, two leading next generation Pittsburgh-style philosophers. Influenced by Sellars, Brandom, and McDowell, Kukla and Lance give an account of the core social practices that constitute what Sellars calls "the space of reasons."