Playing Accompaniment By Ear

[princessdecadence]

I've been wanting to accompany my singing with the piano for many really good songs.  I have the CDs of those songs but not the music sheets, I've searched high and low.  I am depending on playing them by ear now. 

Any advice tips on how to effectively do it? I know my chords but not entirely to well as to guess the precise accompaniment. 

Any good books or links which might perhaps help me out?

Thanks in advance.

xx