Yes, the idea of playing different inversions for left and right hand is very good; another option is to use chord alterations. In the above example the Cm can easily become a Cm9 playing a chord like Eb-G-Bb-D with the right hand (while still playing G-Cm-Eb-G with the left hand). There is really a lot to experiment; sometimes a latin tune starts just from a successione of two chords like these played with the right feel.