Please recommend new headphones for listening to Qobuz on iPhone

I've been streaming Hi-Res music from Qobuz on my iPhone, attached (with the camera adaptor, of course) to an iFi hip-dac. My headphones are an old pair of AKG K240 Mk IIs. I've been having some fun, surprisingly -- I'm not much of a headphone guy, actually -- to the point that I'm wondering about upgrading the 'phones.

Let's say I was willing to spend about $400, and was looking for clarity, soundstage, cymbals that sound like cymbals instead of like, well, like tin cans.

Any thoughts or recommendations?

Also, if a bit more scratch -- another hundred or so -- could yield a whole lot more musical enjoyment, I'd be happy to hear about that, too.

Thanks very much.

-- Howard