I suspect that the primary grounds for appeal will be incompetent council. The judicial mistake was to not move the trial far enough away from the murder site. Geragos tried to get it moved to LA.
If I were a betting man, I would go with the momentum and claim council was incompetent and the jury was tainted as a result of the media coverage. Geragos set this up early on when he had problems picking a jury. The record is rife with evidence of this.
I would not expect any appeal to automatically be successful, as they rarely are. But, it does happen.
It will be interesting to see what they do appeal on.