Remote Control of Sub(s) sounds terrific, initial setup from a few listening spots. After that, remote volume would be very nice.
A crossover has to exist somewhere, to separate low bass from everything else. Home theater receivers have built in, and the content coding has separate bass.
2 channel amps for music systems typically do not have crossovers built in. You can use a self powered sub’s built in crossover, that is the method that makes it easier for the amp and mains because they do not have to produce low bass.
A separate external crossover does the same thing, except you have more control of the quality of that device. And you do not need to get any signal back from the sub. Crossover sends lows to sub, everything else (easier job) to the amp(s) which send signals with no low bass (easier job) to the mains.
http://www.acousticfrontiers.com/three-ways-to-add-a-subwoofer-crossover-to-your-two-channel-system/
Many subs have crossovers built in, some line in, some speaker wires in, some both. If via speaker wires, the amp is still producing low bass, then the sub filters that for itself, and sends speaker wires to your mains. This gives the mains a break, but does not give the amp a break.