what do ya'll use to deep clean your base boards / scuffs on walls?

[GOAT]

Between my dog and my kids my walls always have handprints, paw prints, random splatter, stains, etc.

Magic erasers and other cleaning wipes always end up shredding or just spreading the dirt across the wall which shows the discoloration or the area I cleaned after it dries.

Is there some sort of tool I'm unaware of or am I just going to be scrubbing this poo on my hands and knees forever?

[Pejorative Miscreant]

 I always used a bit of water on a cloth and was able to get most out or presentable. Also had left over paint that matched and was able to water it down a bit and touch up some marks.  Never perfect if I was looking for the difference but not something that would jump out. 
 

Aside from that, I think all you can do is wait spend the next few years looking at colors and when their older paint again. 
 

Wish I could help more. Good luck.