Here are some pictures of the yellow-headed warbler I saw yesterday (managed to snap a few not great pictures through the binoculars this morning).
I think they are black-throated green warblers, despite the fact that none of the ones I saw were actually black-throated.
They seem like a good match for these photos taken recently in NYC: https://urbanhawks.blogs.com/urban_hawks/2020/09/black-throated-green-warbler.html
And here are two pictures of the (adult male, I think) white-breasted nuthatch I got through the binoculars this morning.
I am much more confident in this identification.
I think the warbler may have been a black-throated warbler, but I couldn't get a picture of it and I don't remember if it had the black throat.
It's been hanging around here for the past few days, so I hopefully I can catch it again.