Congrats on your foray into the martial arts.

(I practice CMA)
Kendo is a Japanese art. The hairstyle your pictured is nice but will not remain neat during training. I would recommened a hairstyle Japenese martial artists wear while training. Think Samarai, Sumo Wrestlers, etc. They have long hair which is tightly pulled back and up, looped into a small bun-like pony tail with no free strands. That would be better to keep it neat, contained, and away from the face.
Good Luck!