I don't own a D-Zero, sorry. I generally use my E11 portably only and my E10 paired with my laptop, either for transportable use as an amp/DAC or as a pure DAC with my home amp. Mike from Headfonia compared the E11 and D-Zero in his review, so read that (and other reviews) and see which sounds best for you. I guess it all depends on what sound you want as well as whether you want all-in-one convenience, battery powered etcetera.
I hope you're happy - I've managed to keep my post count on 666 for months.