The name Shugyo-Kan in Chinese / Japanese...

修行館 is shugyō-kan or shugyou-kan in Japanese.

修行 is shugyō or shugyou in Japanese. It refers to ascetic practices, training, practice, discipline, and study.

修行 is also a word in the original Chinese, referring more to religious studies and practices.

In the Buddhist context, this represents caryā. In Buddhism, this relates to one's conduct, observing and doing, cultivating oneself in the right practice, and/or being pious.

This is the Japanese martial arts school, “Kenshin-Kan” or “Ken Shin Kan” in Kanji.

正心館 is the name Seishin-Kan in Japanese.

Seishin (sometimes romanized Shoushin or Shoshin) means “correct mind” or “right heart.” Kan can mean building or establishment.

剛完流 is the title of the Gokan-Ryu or “Go Kan Ryu” martial art.

剛柔館 is the martial arts style Gojukan or Goju-Kan.

The meaning is “hardness [and] softness hall.”

剛 = Hard, firm, or strong.
柔 = Soft, softness, flexible, supple, yielding, gentleness, or pliant.
館 = Hall, building, school room, or an alternate word for a dojo.

沖縄剛柔館 is the martial arts style Okinawan Gojukan or Okinawan Goju-Kan.

The meaning is “Okinawa hardness [and] softness hall.”

沖縄 = Okinawa.
剛 = Hard, firm, or strong.
柔 = Soft, softness, flexible, supple, yielding, gentleness, or pliant.
館 = Hall, building, school room, or an alternate word for a dojo.

糸東流氣目館空手道 is the title for Shito-Ryu Ki-Me-Kan Karate-Do.
A school of Karate.

Note that while this title can be pronounced in Chinese, it only makes complete sense in Japanese.

武心館 is the title for Bushinkan or Bushin-kan, which translates roughly as Warrior Heart Hall/House.

勸 is the simplest Chinese, Japanese Kanji, and old Korean Hanja word for encouragement or the act of encouraging someone.

This can also mean: to advise; to urge; to try to persuade; to exhort; to console; to soothe.

簡 expresses the idea of something simple or the essence of simplicity in life in Chinese.

This can also refer to a simple slip of bamboo for taking notes or writing a letter (especially in Korean Hanja).

Technically this is a word meaning simplicity and brevity in Japanese but it's rarely used in modern Japanese. Therefore, you should probably only select this character if your audience is Chinese.

See Also:  Brevity

歡 means joyous, happy, delightful, and pleased.

歡 represents external happiness that may have you clapping and cheering.

Please note: The other happiness/joyful which looks like "喜" is more popular.

歡 is the ancient/old version in China and Japan. After WWII in Japan, they started using 歓. Just let us know if you want this modern version instead of the ancient one.

See Also:  Happiness

武士道館 is the title Bushidokan or Bushido-Kan.

至福感 is “feelings of bliss” in Japanese.

A breakdown of the Kanji in this title:
至福 (shifuku) beatitude; supreme bliss.
感 (kan) feeling; sensation; emotion; admiration; impression.

志道館 is the Japanese title Shidōkan (sometimes pronounced Kokorozashi-do-kan).

志道館 is often associated with Shorin-ryu Shidokan (小林流志道館). Do not confuse this title with the newer 士道館 which is also romanized as Shidōkan.

古武館 is the martial arts style Kobukan or Kobu-Kan.

The meaning is “ancient warrior hall.”

古 = Old, ancient, antique, or paleo-
武 = Martial, warrior, or military.
館 = Hall, building, school room, or an alternate word for a dojo.

孝心館 is the title for Koushinkan, Koshinkan, or Kōshin-Kan.

The romanization of this title varies a little, but the original characters are the same.

孝 = Filial piety or obedience.
心 = Heart, mind, intention, or center.
馆 = Building or establishment (dojo).

This can be pronounced in Chinese and has the same meaning, but you should consider this a Japanese martial arts title.

This can be the Chinese ancient surname Gan or current surname Qian. In Japanese, it can be the surname Nukui, Susumu, Ken, Kan, Kawaki, Kawai, Inute, or Inui.

The meaning of this character varies a lot depending on context. These meanings include dry, clean, foster, adoptive, heaven, male, masculine, enduring, or continual.

The “Gan” version of this character was converted to Simplified Chinese as 干 in 1965. However, the “Qian” pronunciation is not associated with 干. Though to add to the confusion, there is an unrelated Simplified Chinese character 千 that romanizes as “Qian” and is also a surname.

大道無門 is a Buddhist proverb that means “The Great Way has no entrance,” “The Great Way is gateless,” or “The Great Path lacks a gate.”

This can be translated in many other ways.

This concept was authored within a long sacred text by 無門慧開 (known as Wúmén Huìkāi in Chinese or Mumon Ekai in Japanese). He was a Chinese Chan Master (in Japanese, a Zen Master) who lived between 1183 and 1260 AD. His most famous work was a 48-koan collection titled “The Gateless Barrier” or “The Gateless Gate” (無門關 Wú Mén Guān in Chinese, or 無門関 Mu Mon Kan in Japanese). This calligraphy title is a notable line from this collection.

I like this reference to the source of this proverb: The Gateless Gate 無門關