That cage is pretty dark with fat lines and the examples you're posting are pretty dainty. Any cover is going to have to be quite dark to hide the old work, and trying to incorporate that cage with dainty next to it doesn't sound appealing, at least to me . . .
Don't overthink it man. Just get something simple that will remind you of what you want it to every time you look at it. Something like this with a similar colour palette to the one you have.
It's very common; we get posts on here like every few days.
I'd hold off on another one for a bit if this one is this concerning.
Nothing to do now other than to grow to love it, which you've indicated you already do; it ain't going anywhere.