Här e svaret jag fick för 1 år sen när jag gjorde lite mer intensiv research om byn..
below, find a link to one ukrainian map of this
region.
In general there are 2 jumps from Kherson to Zmyivka:
1. Kherson - Beryslav (there are no straight buses like
that but you could use Kherson - Kakhovka with bus
change in Nova Kakhovka, where I am now, actually and
then picking up a bus from here to Beryslav as I
remember there were buses of this route).
2. Beryslav - Zmyivka
On the map a total route was shown around 80 kilometers
though it is a raw calculation using straight lines.
A bus from Kherson to Nova Kakhovka takes around 40
minutes and then another 40 min to Beryslav with like
20 min from there to Zmyivka.
Prices for bus from Kherson to N.Kahovka around 15 UAH
(~2 euros) and the same further.
here is the link:
http://map.meta.ua/map/khersonsky-region/#x:712:y:-656:s:1:o: