I would envy you, if that works for you.
It was the other way around. I bought better headphones to improve listening over my iPhone, then I realized the iPhone is not good enough for the headphone. New DAP, damn the headphone is not good enough.... 1 year later I have bought the Hugo, the AK100MKII, AK120 Titan, AK100II, AK120II and the AK240 and have in parallel the IE800, SE846 and the Noble K10.
The K10 has brought me salvation, because the difference between the Hugo and the AK240 is small enough, that I can stick with only the AK240. I might even just keep the AK120II because it's so close with the K10 to the Hugo and AK240.
I definitely don't want to go back to iPhone or MacBook direct play.
My point is, maybe you first need to find the right headphone for your likings ;)
And be prepared to spend the money, my Grado GR10 is doing really well, with minor modification, on my iPod Touch and or iPhone 5s. At home, the AK10 give some more grunt,on the road the iPod,Iphone are more than good enough. You did spend a little fortune on your units so far Bechti, which is absolutely ok, if you have the money, but I haven´t and try to make out the best from a limited budget which works pretty well,