Well, I'm nothing but an enthusiast, so take my answer as simply my point of view
I agree that your scenario is the one area which is not comfortable with passives and amps and etc. My solution was to add desktop computer speakers (Logitech 5.1 system) that stays on all the time connected to the computer's audio 5.1 output, and configured as the default sound output device.
Then, when I want critical listening, I switch the output (either via control panel, or, more commonly, by the app performing the playing, like Audirvana, or Roon, etc.) to the DAC that is connected to the 'good' system.
Still, there is some overhead involved in this procedure, but takes away the need to turn on everything just to watch bloopers on YouTube or the news.
A really nice alternative, would be very good active wireless speakers, like the KEF LSx (or whatever the new small ones are called) which will solve all your needs and still leave you with great sound all around.
Where I live, power is not all that reliable, I only leave DACs on at all times, all my other equipment is turned off / on as required. Even the DAC-10 is always on standby and not on all the time.
That's me, I'm sure others have other approaches.
Hope this helps,