You can use the Tidal streaming service for high res audio just fyi.
Also while on the topic of high res audio and different sources, I'm just gonna say that different headphones will make a MUCH more noticeable change than swapping to a high res audio player. I'd definitely just stick with your ipad and phone for the time being until you get some headphones you really enjoy. Then you can decide whether it's worth getting a new audio player or not.
As for headphones, the mdr-1a (haven't tried the dac version) is a fun headphone with a nice soundstage and they're ridiculously comfy.
H6 have a more nicely balanced sound although with a lot less bass kick than the 1a which makes them sound a little less fun, albeit a little more natural though, pretty much the same comfort although they do cost a lot more.
M2 I didn't hear for too long but they seemed to be about in the middle of the 1a and the h6. Less bass oriented than the 1a but not quite as balanced as the h6 imo. A little less comfy than both (still comfortable) but also quite expensive.
That's my 2c on a few of those choices!
1A probably more bass, but uncontrolled, not solid & punchy. H6 is much more solid & punchy from what I remember & heard though