Hm, I guess I'll make a mechanics post soon, though I can probably fit that into the OP.
But for now, have a description of Three Monkeys style, since Luffy would be semi-familiar with his mom's style!
You'll get to see a couple of the moves for each of the forms. Each form has a different mindset, so you wouldn't use them simultaneously in combat, but you could switch between them if there's a lull.
The Three Monkeys School
Description: Three Monkeys style is a series of martial arts forms developed by Gilded Beast Kōn after her arrival on this planet. She drew on several sources to develop her techniques, including: Rokushiki, Fishman Karate, and even the moves of her lover, Dragon. Only someone with Saiyan blood can fully master this style.
Forms
Steel Monkey: In this form, defense is maximized with a body as hard as steel, much like the skill Tekkai. You spread your feet and straighten your back, to maximize your stability. You harden your body to physical attacks, slowing your reactions and allowing your opponent more opportunities ... at least until you get the chance to strike, at which point you unleash a single devastating move, meant to crush your opponent in one blow.
- Steel Gorilla Press: Using the principles of Dragon's crushing claws and Shigan, you turn your open hand into the jaws of an angry gorilla. In one quick motion, you grip your opponent's body, burying your fingers in their flesh and crushing their bones.
- Steel Howler Burst: Inspired by one of Jinbe's moves, you send a short-range burst of explosive sound through the air from your mouth, stunning your opponent and breaking their defense, leaving them open for a finishing move.
Drunk Monkey: Here, your aim is to keep your opponent off balance. It is characterized by false steps, feints, and a stumbling sort of gait. Your body assumed its maximum flexibility, allowing you to sway away from attacks and use unexpected angles to retaliate. A vicious form that prioritizes strikes at the eyes, throat, and groin.
- Drunk Gibbon Sickle: Your curled hands and tail become curved blades, parting flesh with ease. Your stumbling, random movements pair excellently with this technique.
- Drunk Loris Fang: Getting in close, you take an opportunity to get in close to your opponent and literally sink your teeth into their flesh. Once this is accomplished, you inject some of your Ki into their body, disorienting and sickening them, making them sluggish and weak.
Rabid Monkey: Combining overwhelming speed with unrelenting offense, Rabid Monkey form is all about unbalancing your opponent with your ferocity. Taking control of the battlefield with bursts of speed and powerful leaps, you run circles around enemies while buffeting them with attacks until they fall. In this form, you move around on all fours.
- Rabid Chimp Brigade: Your movements are so fast and furious, it's like there are multiple people attacking your opponent at once. In fact, the effect is much the same. In an instant, you've landed dozens of blows on your opponent.
- Rabid Flak Baboon: You use your tail to fling a hail of razor-sharp fangs, made from fur, at your opponent, like some kind of shotgun.
Lusty Monkey: By studying the habits of the Bonobo, you have become an expert in the physical side of love.