It's a very uneven show: some episodes clearly pander to children in tone and humor while other episodes exhibit darker, maturer themes that appeal to adults.
I've found this as well. There will be a story arc for a few episodes that seems quite juvenile, and is clearly targeted at a less sophisticated audience. Then there will be another multi-episode arc that deals with some fairly heavy themes, and often feature impressive writing and visuals.
I personally favor most of the story arcs that approach the story from the perspective of the clone troopers. The recent conclusion arc for the end of season 5 was also very satisfying. I adored the mid-season arc involving the criminal empire of Darth Maul.
There is definitely material in this series that is worth watching. Just be prepared to have to wade through kid-centric "filler." Having some youngsters around to watch it with would be a big advantage.