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.
128x128rvpiano
@OP

I do not know if this is important to you , but the Pro iCan  comes with a remote,  but a simple one.
I’m a real novice in this field. I’m embarrassed to ask a very basic question. Besides the headphones and headphone amplifier, how do I connect with my sources (Cambridge streamer, Cyrus CD transport, Oppo player?)
With my speaker system I have a modified Conrad-Johnson PV 11 preamp, Benchmark DAT and amplifier.
Sorry to be so uninformed.
streamer / CD Player -> preamp (line out, an unused one) -> headphone amp -> headphones

I would guess your output 2 on the back of your Connie J is available to plug in the head amp.