Fu Lu Shou in Chinese / Japanese...

These are the short titles for Sanxing or 三星 (Three Stars).

福祿壽 are the gods of Jupiter, Ursa Major, and Sirius. Fu, Lu, and Shou represent fortune (福), presiding over the planet Jupiter, prosperity (祿), presiding over Ursa Major, and longevity (壽), presiding over Sirius.

In old Chinese folk religion, they are often represented as three old bearded wise men.

功夫散手 is a martial arts title.

Oddly, there are multiple ways two spell/romanize this in English, but in Chinese, it's written exactly the same.

Technically, the Mandarin romanizes as “gong fu san shou,” for which you'll sometimes see it written “kung fu san shou” (k'ung is an old romanization for a word that sounds like gong with a vowel sound like “oh”).

There is another martial arts style that spells this “Kung Fu San Soo.” I guess this was supposed to approximate Cantonese pronunciation for which the scholarly romanization is generally agreed to be “gung fu saan sau.”

散手 is a martial arts title sometimes spelled in English as “San Soo” or “San Shou.”

The Mandarin version romanizes as “San Shou.” Mandarin Chinese is the most common dialect in China (literally 99% of Chinese people speak standard Mandarin along with their local dialect).

There is another martial arts style that spells this “San Soo.” I guess this was supposed to approximate Cantonese pronunciation for which the scholarly romanization is generally agreed to be “Saan Sau.”

妙手仁心 is a phrase that celebrates the benevolence, skill, and service to his/her patients.

Here's a breakdown of the characters:
妙手 miào shǒu is an admirable skill in curing disease (when referring to doctors).
仁心 rén xīn kindheartedness, charity, benevolent heart.

妙手仁心悬壶济世 is a phrase that celebrates the benevolence, skill, and service to his/her patients.

Here's a breakdown of the characters:
妙手 miào shǒu admirable skill in curing disease (when used in reference to doctors).
仁心 rén xīn kindheartedness, charity, benevolent heart.
悬壶济世 xuán hú jì shì practice medicine or pharmacy to help the people or the public.

The first character means “wood glue” or can be understood as “sticky” or “sticking.”
The second character means “hand” (or “hands”).

This term can be romanized as “Chi Sau,” “Chi Sao,” or from Mandarin, “Chi Shou.”

黐手 is a concept that comes from the Wing Chun (AKA: Ving Tsun, Wing Tsun, or Yong Chun) style of martial arts. If you are looking for this term, chances are, you already know the meaning within the context of Wing Chun.

有段者 is a Japanese term for someone who holds rank in karate, judo, etc.
This term theoretically applies to anyone with rank (above a white belt). However, some schools or dojos may reserve this title for a holder of a black belt.

I'd suggest that you only order this phrase if you have honestly reached this level.

This title does kind of make sense in Chinese but only to those Chinese who practice “kong shou dao” (karate) or when used in the context of martial arts.

推手 is the martial arts title “Pushing Hands.”

推手 is the title for two-person training routines practiced in internal Chinese martial arts such as Baguazhang, Xingyiquan, Tai Chi Chuan (Taijiquan), Liuhebafa, Chuan Fa, and Yiquan.

The first character means “pushing.”
The second character means “hand” (or “hands”).

This term can be romanized as “Tui Sau,” “Tui Sao,” or from Mandarin, “Tui Shou.”

If you are looking for this term, chances are, you already know the meaning within the context of Tai Chi and other martial arts.

鬆濤館空手道 art the Japanese Kanji that make up the title for Shotokan Karate.

This should be considered a Japanese-only title. It does make sense and is pronounceable in Chinese and Korean but only as a title for a building (perhaps a martial arts hall) surrounded by pine trees - followed by the characters for “The empty hand method” (kong shou dao / Karate-do). Also, the first two characters were simplified in both Japanese and Chinese. The third character was simplified in Chinese but not Japanese.

Upon request, we can offer the fully traditional Chinese version but be sure you know what you are asking for.

Note: This would be understood in Chinese and Korean Hanja by a person from those cultures familiar with martial arts and various schools of Japanese karate.