So in the end, would a high quality integrated be the best way to go (assuming one likes the sound of the unit) due to one less pair of cables, electrical cord, etc?If you're looking for ultimate sound quality, no. Integrated amps have both power amp sections sharing a common power supply; in rare exceptions they might have dual power supplies (so that's a thing to look for) but you have a lot of other circuitry on the same chassis and finally, to make it work it has to sit between the speakers (since for best results the speaker cables should be kept short). That may not be the best place in the room since vibration can play a role in system performance. Integrated amps often share ground connections, which has the same effect that you hear with a 3-wire headphone hookup as opposed to a 4-wire hookup. Its nice to keep the left and right hand ground circuits separate- that gives you the opportunity for lower noise and possibly less ground loop potential.
Separates have more chassis real estate for things like extra power transformers, regulation and the like. The don't share power cords (unless you plug them all into the same power strip) so there are less voltage drops in the AC supply.