I think,fairy tales`re pretty easy fr self-studying.There`re not difficult expressions.

Hi! It's really very hard for me to pick something that is easy to you, and yet short and good (but the hardest thing is easy), but would suggest this (http://www.lib.ru/POEZIQ/MARSHAK/perewody.txt). This is english and scottish poetry in good russian translation. Try reading something from there (it's a huge page) and if it's too complicated - write back to me so that i can think of something else. By the way this is a huge site of literature in russian, i think it's useful. Good luck!

Do you have english books that you really know? If yes I suggest to find russian translate it very helpfull. I road Jerom K.Jerom "Three man in the boat" on english and get a lot of fun) So, what is your likest book?

I can recommend you some russian writers, who had been writing for children (prose or poems): Аркадий Гайдар, Лев Кассиль, Самуил Маршак, Агния Барто, Михаил Пришвин, Эдуард Успенский. Check the department "Книги для детей" in the nearest bookshop (as far as you are in russia) ;)