OldDude04
Headphoneus Supremus
While I do like the openness of the HE-4xx I partially feel that it is a bit too neutral for me. I don't necessarily want a bass head since I do not like heavily recessed mids. Right now I am running them off a FiiO e10k, and eventually in the future I plan on getting the Little Bear B4-X.
The M1060 are lively cans and definitely have a better low end than the 4XX, and can even be basshead level if EQ'ed that way. Overall, I think you'd feel they were a worthwhile upgrade. I do see a possible problem for you though, the M1060 like a little bit of power and neither the e10k or B4-X is powerful. If you don't need the amp you purchase to be portable, you'd get much more power going with either a Schiit Magni 3 or Monolith Liquid Spark. Both of those can be had for around $100.