Any idea which headphones I’d like?

Since you have a healthy budget and are juggling #dadlife (I fully relate)...

Consider Abyss. Their flagship AB-1266 Phi TC which starts at ~5K. 

I’d say the one thing I’ve always really liked is a large soundstage.  I prefer a warmer midrange, with accurate bass vs analytical

The 1266 will deliver on soundstage (unlike most headphones) and on accurate bass. Midrange is neutral and can be nudged warmer with the amplification you choose. As I mentioned in my previous post, pairing with high quality amplification is a requirement.

If you want to step back (somewhat) in spend, then the Abyss Diana Phi. There is a current Agon listing for an unopened Diana Phi in the Bronze finish.

The Focal Utopia is my current reference, so I am partial to Focal (as well).

Flagship IEMs are another option, in case you haven't considered.

However --- I'll restate: you need to figure out the right combination of headphone and amplification for yourself.

@ghdprentice Thank you.  Did you do the audiophile-grade upgrade?

@toddcowles

I choose the premium parts upgrade and upgraded all tubes… Takatsuki 300B, Sophia 274B (I love the look and have used them before) and upgraded driver tubes (their offering for driver tubes are a bit different now.

@toddcowles
If I wanted a headphone-only system, this Linear Tube Audio MZ3 might be my choice (I think I want to use it as a preamp too). I know the Violectric is a fine one. The Pass Labs headphone amp is said to be superb too.

“I can say without hyperbole that in my experience this is a headphone amplifier with few peers at this price point... Highly recommended.”

— Rafe Arnott | Inner Fidelity

LTA: https://www.lineartubeaudio.com/products/microzotl-mz3

Review: https://www.themasterswitch.com/best-headphone-amps