Just wondering, would Kycoo be worth putting in my deck? Here's a list of the monsters I'm running now:

Non-Tributes

Skilled Dark Magician x2
Archfiend Soldier x3
Luster Dragon x3
Insect Knight x3
Mad Dog of Darkness x1
Breaker the Magical Warrior x1
Chainsaw Insect x1

Tributes

Anteatereatingant x1
Great Maju Garzett x1
Blowback Dragon x1
Cybernetic Magician x2

Would it be a good idea?

Not really. Don't get me wrong, its a good effect. You can easily side 1-2 of them if you run into a lot of opponents who manipulate the Graveyard. But, based off the basic beater monsters that you have listed, I don't see it adding anything unique that would severly boost your performance.

If you want to replace something, that might be different. (like Chainsaw Insect or Skilled Dark Magician)

Lose the Chainsaw Insect...since it looks like you're running a basic beatdown....

But, yeah, Kycoo is ok to run with its decent ATK and its ability to remove things while also preventing the opponent from being able to remove things, so you can remove LIGHT and DARK monster's that the opponent could use to remove for Sorcerer and remove Treeborn Frog so it can't keep coming back or Sacred Phoenix of Nephthys and other self-revivers.

But my chainsaw both "is teh ownage" as well as "brings all the girls to the yard" so it is in fact, "damn right, better than yours". I can't see losing it for a Kycoo...

It also let's your opponent draw cards, which gives them an advantage over you.

Regardless of how high an ATK it has or your field, giving your opponent resources to use against you later is VERY bad. Even just 1 card.

You'd be better off with things like Goblin Elite Attack Force, Goblin Attack Force, Indomitable Fighter - Lei Lei and such. Or even a Rare Metal Dragon while using A Rival Appears.