Though different cables behave wildly differently, and all cables will likely affect all these areas to some degree, I have generally found that:
1) speaker cables affect (can improve) spatial qualities of sound more than any other cable
2) interconnects affect tonal and timbral qualities most of all
3) digital cables affect fluidity and ‘analog-ness’ of sound more than any other
So you also approach the issue from the perspective of what aspect of sound you want to try to improve first.
Again, these are far from hard and fast rules and synergy throughout all cables in a system can have the biggest effect of all.
YMMV, enjoy the hunt.