Regardless these seem to be special subwoofers compared to the rest of the pack.
As for connecting to your receiver definitely connect to the speaker terminals of the amp (parallel with your main speakers). Connecting to your amplifier will allow the best possible integration with the main speakers because they are each receiving the same signal and sound signature.
If you make sure that the subwoofers are positioned reasonably - along the main wall, about 6" or so from the wall and not in the corners of the room I don't believe room correction is necessary. I have measured the respinse of many subwoofers and positioning them reasonably flattens the response which avoids peaks that require correction.
If this sounds like a good starting point we can walk you through how to adjust the crossover, phase, level, etc. for best possible integration.