It does show the switches, just not in a user-friendly format. See below. I've outlined each switch in a black box and labeled the "common" terminals with a C and the travelers with a Tr.
And if you've never worked with 120VAC, I'd recommend a trip to your local home center for a few items...
- A book on wiring for homeowners. The pictures I posted above are from books and magazines that I've found very helpful.
- A non-contact voltage tester. Because safety should always come first.
- A wire stripper.
- Some wire nuts...usually the yellow ones.
- a small amount of 14-3 wire for "pigtails" if needed, or 12-3...whatever matches the circuit you are working on.
Jumping right into a non-standard 3-way circuit as your first effort in home wiring might not be the best idea. Just sayin...