I'd say a job market for expats have been shrinking for years so now you have to either have pretty unique skills (which doesn't appear to be the case) or compete with domestic specialists for typical domestic salaries (which you'd not like, I guess) . By the way, that fact you will need a work permit and you will not speak fluent Russian for a while makes you less attractive, other things being equal.
EHS experience may be usefull if you're lucky enough to find job in a big western FMCG-company like "Coca-Cola" or "Philip Morris". You can start from their web-sites to find local offices.
And here are some domestic job boards where you can start posting your resume:
http://job.avanport.com/http://job.bigmir.net/http://headhunter.com.ua/http://www.in-job.com.ua/http://www.jobmarket.com.ua/http://rezume.com.ua/http://www.ukrjob.net/http://www.job.kiev.ua/http://www.rabota.com.ua/http://www.alljob.com.ua/http://www.rabotaplus.com.ua/Good luck!
