overcomes so much of your early game weakness and synergises with your kit so well that it should be rushed. Gives a great on hit passive for kog, both ad and ap, and the most attack speed of any single item
on hit passive is twice as effective on kog, active helps keep you alive, and a good chunk of attack speed.
gives even more ap as well as another on hit passive with scaling. also comes with a lot of attack speed.
will let you heal off of all of your on hit damage while giving ad and ap. This item will heal you more than even a bloodthirster. Active can also be pretty useful.
is an item I do not recommend. Kog is extremely immobile (perhaps the least mobile in the game now) and you should not be in a position where you can hit 3 champions at once. Theoretical damage output is very high but you'll have to almost completely compromise your safety to achieve this damage. Your damage when only a single enemy is in range (the more ideal scenario) will be less with this item compared to another attack speed/on hit item. Only buy when in and/or against certain team comps.