Well the cable material doesn't have a huge bearing on which dac you choose, but it does look like standard 3.5mm, so the 9038D is the one you would need to fit that cable.
I just wanna be honest and keep your expectations in check. A lot of newer phones have really good dacs built in, and decent headphone amps. Your IEM's don't require a lot of power, so it probably won't be a night and day difference with the E1da dac, but you should have more volume if needed.