Pocket Wizard just finished their work on 5D Mark III support in their latest beta firmware, 1D x should be on the way (but not in the nearest time). Phottix should work as they don't need fair amount of R'n'D work to become compatible with new cameras.
Any standard trigger will work... PW Plus II's work fine (and most certainly Plus III's). TT1/5's works in basic trigger mode, but not hyper/high speed sync yet.
I posted earlier that it was working, but now it is not. I'm not sure what is going on, but my 1DX will not currently do HSS with the Odin. Neither will another guys same combo who just tried his on POTN (his also previously worked).
I'm really not sure what changed, or if I changed something I'm unaware of. Odd that it would happen to two if us.
Phottix have stated that they are working on 1d x ettl support, but for now only manual works. However you can still use the ettl communication line to remote adjust power in manual mode.