Awesome. I am making notes of all the formulas for each but it gets crazy after just a handful of girls. Who knew dating a dozen girls would be so challenging?General ways to increase KP are:
A sex slave's story book (Mall: Bookstore)
Spanking (when KP is 10-50)
Sexy dress (Mall: Clothes shop, KP >=30)
Sexy swimsuit (same, but at KP >=60)
Darts & Pool during Pub dates
Video/Board games & SM porn on Home dates
Ordering/paying for her on Restaurant dates
Iirc there isn't a Kleio-specific event or dialogue option that grants KP, so you'll have to make do with those options