I’m still dozens of pages behind the latest posts but it seems as though your question went unanswered so I thought I’d offer a couple of observations. I hope they help.
First of all, I’ve not heard many Audeze headphones. I own the LCD-2 Classic. I’ve auditioned the LCD-XC at home, with my own gear (on a loaner tour), and I’ve heard the LCD-2 and the LCD-4 a few times at CanJam.
From having read extensively about Audeze on the forums, it seems as though they typically had a darker - or some might say warmer - sound signature until the latest releases, i.e. from the last year or so. The new headphones - the LCD-X (2021), the LCD-XC, and the LCD-5 - are supposed to have a more neutral, if not brighter sound signature.
Given your preference for bass and mids, I’d recommend that you consider the earlier Audeze headphones. Having said that, the latest LCD-X has been getting lots of praise and you might look into the impressions of it to get a sense of how it fits with your preferences. It sells for $1,200 US and it is reported to be less demanding when it comes to amplification. I’ve seen claims that it can be driven by portable sources (see
here).
Most of the higher-end Audezes need plenty of power - and perhaps plenty of current, more specifically - to sound their best. The LCD-2 ($900 US) and my LCD-2 Classic ($800 US) both need a strong desktop amp, although I’ve not heard mine with the transportable iFi DAC/amps, which might do the headphones justice. One exception to the power-hungry headphones is the LCD-GX ($900 US), which is designed for gaming but has nevertheless been attractive to some audiophiles. I’m not sure, offhand, what the sound signature is supposed to be like.
The LCD-2 Classic is a great pair of headphones if you drive it with a powerful amp and if that amp is on the warmer side - for my preferences. The LCD 2-Classic is designed to have a darker tilt to its sound signature, and it is a great headphone for listening to modern pop, rock, and electronic music. That’s its forte. Ideally, it should make for a nice, immersive, rich listening experience - one that’s free of fatigue. Electric guitars sound wonderful with it; while they have a decent amount of bite, what stands out are their crunch and growl. The LCD-2 Classic does the textures of electric guitars beautifully. It also has excellent bass; it’s not particularly emphasized, nor is there a mid-bass hump - the bass is pretty linear down to the low sub-bass region - and it’s fast and, again, well textured. It may not be the tightest bass but it’s really satisfying. Where the LCD-2 Classic comes undone is its uneven upper midrange. There are a few slight peaks and recessions - this is why I advocate for warmer amp pairings - and there’s some grain as you move into the upper-mids and treble. I’m not sure these are great headphones for vocals, and they’re less than ideal for listening to acoustic instruments. By no means are these headphones "accurate" or "neutral" - they're not supposed to be. Look to the LCD-X for those qualities.
The LCD-2 has a different sound to the Classic, albeit one that bears a family resemblance. It likewise needs hefty amplification. I’m not sure if it rectifies the limitations of the LCD-2 Classic’s wonky mids. But it might be worth looking into.
As for amplification, it is commonly understood that Cavalli amps pair well with Audeze headphones. I've seen people praise the pairing of Audeze headphones with the Monoprice Cavalli Liquid Platinum, which is a tube hybrid, and even more so with the Monoprice Cavalli Liquid Gold X, which is a solid-state amp. That amp's MSRP is close to a grand but if you're patient, it can be had for hundreds of dollars less during periodic sales. I've heard it and it's a great amp; it comes with a DAC in it, so it works as an all-in-one unit, although that DAC isn't the greatest. The slightly warm sounding Schiit Audio Jotunheim 2 is also excellent for planar headphones, and it can also serve as an all-in-one unit with an added DAC module (you can opt for ESS or Multibit). I've heard it and it was may favorite pairing with my LCD-2 Classic.
One last thought: if you’re looking into getting planar headphones, HiFiMan ones will be brighter, perhaps peakier with the Ananda, and HiFiMan is notorious for poor quality control. I won’t buy one that costs more than $500. If you get one, make sure it comes from an authorized dealer and with a decent warranty.