Documentation for all of Terminator keybindings and config options in man pages is included in the source/packages. See:
man terminator
man terminator_config
Split the view vErtically:
Ctrl-Shift-E
Split the view hOrizontally
Ctrl-Shift-O
Move cursor to the terminal left/right/up/down of the current one:
Alt + Left/Right/Up/Down
Move to next Tab
Ctrl+PageDown
Move to previous Tab
Ctrl+PageUp
Toggle window to fullscreen
F11
Search in terminal:
Ctrl + Shift + F