One diode and you are golden. Too bad I'm an Mechanical engineer instead of an Electrical engineer otherwise I could recommend the proper diode to use.
Hmmmmmmmmmm, lemme see....
The circuit is a latching circuit, and is different from the standard wiring for the ato kits we are linking to. It is far more reliable, in terms of cycling and reed switch/relay contact wear. (over cycling)
The diode is refered to as a 'flyback diode,' 'snubber diode,' 'clamp diode,' 'catch diode,' 'suppressor diode,' 'suppression diode,' and/or several other names. It is used to provide a path for 'flyback voltage' (a voltage spike) caused when power is suddenly removed from a coil, so the coil (in this case a relay) draws current from itself, till the power is dissapated due to wire resistance. The fly back voltage can be 10x the supply voltage. This protects the switches. When the switches are closed, the diode is reverse biased against the power supply, and does not exist in the circuit, for practical purposes. Only the reverse bias is animated in the gif image.
Which diode, hmmmmmmmmm, sometimes a 1N4007 is called for...might be overkill, but it works. A 1N4001 or 1N5400 series diode will do the job.
This can cause a delay in the opening of relay contacts, so if it is critical that the contacts open quickly, a low value resistor can be placed in series with the diode, to speed up the dissipation. But in an ATO the instant on/off, is not really critical.