I’d suggest doing a bit of read by era. You mentioned you were readings some Golden Age stuff. Go and check out some Silver Age books. 1956-1969 I’d suggest Flash 105 and the Silver Age Green Lantern and the early JLA.
Then on to the Bronze Age, I’d focus on the O’Neil/Adams runs in Batman & Green Lantern/Green Arrow.
That is a real foundation of DC pre-crisis. There have been plenty of post crisis recommendations. So I’ll only add these DC Universe Presents s& the Sinestro Corps War.
I do think getting a foundation of Golden, Silver & Bronze Age helps. Especially for characters you like. Plus they have fewer crossovers/tangents than more modern era stuff.
But, try to enjoy the books themselves and worry less about continuity. The storyline section is good for a continuity fix for that sphere of character(s) for that main arc. The rest is generally not that important from a tie-in standpoint. (And I say this as someone who is a but of a continuity obsessive.) I enjoy (and some times don’t enjoy) books, as themselves. They can be viewed as self contained islands. Unless you are dealing specifically with crossover storyline, and the more significant of those you can find in the storyline section.
There is no right way or wrong way to get into and explore comics. As Joseph Campbell famously said: Follow your bliss, and doors will open that you did not even no were there.