As per @DockHead.That is a lot of ground to cover! You (and the kids!) might enjoy slowing down and spending more time exploring and less time transiting. There is so much to see.
We have spent 4 summers in the
med and have barely scratched the surface, and some of our favourite places have been out-of-the way spots we stumbled upon when hanging out somewhere and talking to locals.
We also enjoyed following spots from the Iliad/Odyssey and Greek legends, not so much due to some of the sites themselves, but the bridge to the past. As an example, Nestor's Cave, where Hermes concealed the cattle of Apollo. Not the best cave I have seen but cool to be able to say you stood in it. Lots more around.
Good luck. I know you will have great time.