On evenings that DP had to work, DSS and I used to have time together just the two of us, and I refused to be 'monitor' for his screen time.
So we made 4 jars we kept on the bookshelf in the living room:
Create
Improve
Learn
Move
and inside each one we had ideas of things to do on folded up bits of paper.
He got to choose which jar we pulled from, and we'd do whatever was written on the paper.
So in 'create' we'd have things like "Draw the other person's face without looking at the paper", or "Make dinner from X recipe book" or "Make a Halloween mask using things you find around the house".
In 'improve' it might be "Sort out the kitchen cupboards so there's a system that makes sense", "Fix something that's broken in the house", "Design a morning routine to stick to for the next week"
In "learn" it could be "watch a TED talk on something interesting and teach it to the other person", "Take the DVD player apart and put it back together again", "Find the most interesting fact in the encyclopaedia"
And "Move" we had things like "Make up a dance routine", "Build an obstacle course", "Try a kind of exercise you've never done before", etc. etc.
We'd only have to pick one thing, but usually one thing led to another....
I wonder if a system like this could be a fun way for your boys to have some control, some surprise, and some variety in their days?
Maybe you come up with the ideas in the jars all together and then you pick one thing from each jar each day?
(Fully ready to be told this is twee and your kids wouldn't do it –DSS is 14, I'm not his parent so I get a bit more slack from him, and I'm well aware his tolerance for this kind of stuff may not last!)