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The sink-in-toilet idea is common in Japan. My grandfather had one. The idea is ridiculously simple to implement as a hack -- just open the tank and remount the sprayer at a convenient height. When you flush the toilet, wash your hands while it fills.
As for the AQUS, why does it need to disinfect the sink water?
It occurs to me that the sink is at about the right level to pipe straight over to the toilet tank, right? No pump needed.
The shower seems like a tougher issue. For a manual solution, you could just keep a bucket in there while you shower, and use it fill the toilet tank. While it wouldn't catch everything, I bet you could get a more or less a half-tank's-worth per shower.
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