Left and right circularly polarized antennas - which one to choose for reception-emission?
It depends on the application. If you use the pair for a line-of-sight communication, the polarisation is identical in both transmitter and receiver sides. If you use the pair in a ground penetrating radar, the polarisations would be opposite because the reflection reverses the polarisation handedness (left or right), and, with the reversed propagation direction, the handedness for TX and RX antennas would be identical.
Antennas of the two practical communication device, if each device uses one antenna both to transmit and to receive, should be oriented as per @carloc's comment: the antennas must look not to each other, but in one direction along the line of sight. If the devices have separate TX and RX antennas, and for some reason the devices must look to each other when in a communication session, then the handedness of the emitter and the receptor need to be opposite, of course. The permanent issue of the handedness convention and the like considerations.
All this said, the configuration for your scenario (&quot;2 spiral antennas, each one looking to the other&quot;) should be like in this picture:

The antennas are pictured in blue, the line-of-sight axis in magenta.