Piano - left hand tips

I’m a long time beginner pianist and I’m getting a bit fed up with just practicing playing from regular sheet music.

I do have access to plenty of lead sheets / cheat sheets / fake books, but no good approach how to get away from dull block chords to something resembling nice harmonic and rythmic support on the piano.

I was wondering if and how hookpad / hooktheory could get me started on a path of developing and practicing my left hand with this regard - any suggestions?