To get a EU citizenship you either have to
a) marry a citizen of the EU
b) invest and create jobs
c) be a sought-after professional
Although "c" somehow applies I don't think the public authorities will accept this argument...
"B" is a possibility if your husband is a relatively rich businessman, "A" is no option.
Please note that the rules in every European country are a bit different, yet if you got the citicenship of one country you can live and work in every other EU country. That's why we frequently mentioned Germany, which has some unique regulations for citizens of the CIS countries. But since you or your husband are neither of German or Jewish descent the German regulations are no option anyway.
Getting "just" a European work and residence permit is probably easier, but this way you are still a Ukrainian citizen and can be prosecuted.
IMHO getting a Russian citizenship is the easiest and most practicable way for you.