Congratulations on your purchase. With regards to your query though, (at the risk of sounding rather pedantic) I would suggest that your first stop should be the user manual which should provide you with the basic AI Servo modes available. There are six modes built in the Camera which can be accessed through the menu with an option to tweak the setting if so desired.
The manual has a Table with its recommendations for which servo-mode to use for which sport. For immediate reference you can also use the in-camera help function which will give you a gist of the AI-Servo mode selections.
I've used the suggested AI-Servo options with my kids doing skating, playing badminton, on swings or simply running amok and have obtained very good results.
The AF system on the 5D3 is vastly different from the 7D and must be put through its paces to be understood completely so my recommendation is to go out there and shoot as much as you can. With the 5D3, your keepers will soar ...
I'm not too sure how much external material is available and whether any such books / guides exist ... though I won't mind going through any additional material myself, if any material is available