Dark Panther is right. In english people used to call you by a short form of your name. Like he's showed you: Andy for Andreevich and just Shoo for Shoobenkin. But I guess you could present yourself just as Vlad, that would be similar to Вова in russian :)

I can't pronounce your name either. Ouch! If we were good buddies, I'd probably just call you "Andy Shoo" But that sounds more Chinese than Ukrainian. :P

You pronounce your name the same as you would normally,

I'm not sure what you mean? You will read it exactly in English exactly as you do usually. Are you sure that you mean 'read'?