I think, people living in Ukraine can basically play on almost all the major rooms: GG Poker, pokerstars, 888 Poker, ACR Poker etc. So why not just try out some sites for yourself and see, which ones you like the most?
I still haven't downloaded a single poker room since I got my new computer a couple years ago. Most of the sites I played on are probably gone, and the money I left behind gone with them. I haven't really studied all the new sites and options; one of these days I will. For now, I'm happy playing live in the St. Louis area!