Hello, привет! I am a beginner in Russian myself, but I found a way which may help somebody learn the Russian pronunciation. I use an audio file of Russian speech for which I also have the text. I chose to combine the Russian sound with the Cyrillic letters from the very beginning. Then, I play the audio file on VLC player which gives me the option to slow down the time-rate of the audio without altering the pitch (VLC is free to download). You can have a pretty good quality of sound even if you slow the speech audio 3 or more times! I think that helped me a lot to tune correctly into the sound of the Russian consonants. You can try that easily.

I'd say there is no easy way. So be prepared for a challenge.

You can begin with pimsleur set first.

By simple - nothing. Pronunciation isnt of the complex, but the grammar is very difficult.

I think the best way to improve pronuntiation is to listen to russian music and try to sing it by yourself after it... I picked up some songs on music.yandex.ru (it's legal), and will add more songs time after time. Enjoy: http://music.yandex.ru/#!/users/Rombel-irk/playlists/1001 If you need lyrics or translation of any song just ask me...