What headphone and amplifier for classical enthusiast

I’m thinking of headphones as an alternative to the stereo system I love because of complaints about the “constant noise” coming from my listening room. I know nothing about high end headphones or even how I’m going to connect to a CD or streaming source. My preamp doesn’t allow for headphones so I’ll need one, preferably tubed. And the cost of the cans should be in the neighborhood of $1000-$1500.
I understand headphones have unique characteristics. I listen mainly to classical music.