I’m in a suburb of DC and they recently removed the closest thing to ‘woods’ nearby; but I’ve been surprised at how many different birds we see even here.
I think the most beautiful bird song I’ve encountered is that of the Wood Thrush. When I lived near a wood with a creek running through it, the Wood Thrush often sounded like a UFO in an old 1950s movie:
https://www.youtube.com/watch?v=mcR6XrnD7Yc
But anyway, you might consider starting a yard list, if you haven’t already. As you say, it’s surprising just how many different birds can be out there.