The one that you like the best. They all work toward the same goals and you need to find the best fit for you.
Martialarts include Tae-kwon-do, karate, kung-fu, and many other styles.
Jeet Kune Do is made of karate, tae-kwon-do, judo and kung-fu
The connection deals with a long history. Taekwondo is related to Japanese karate, many of the kata or forms used are based directly on the kata learned in Japan. Japan got the kata from Okinawa where they were developed. The forms in Okinawa were based on kung fu techniques that they learned from the Chinese.
Tae kwon do is the Korean version of karate. Neither is 'better' than the other. It will also depend upon what the student is looking for. Visit both dojo and see what you like and don't like about what you see.
Karate.
karate and judo
All of the styles listed are types of martial arts. Kung Fu originated in China. Legend says it was based on the martial arts of India. Karate was created by merging Kung Fu and Okinawan Wrestling. It is predominantly a striking art. Tae Kwon Do was created by merging Karate and Korean martial arts. It is predominantly a striking art. Judo is a Japanese grappling art that was created as a sport from the martial art of JuJitsu.
Their are different style's of Karate with Different good or Bad points 'Shodokan is lower and is more solid, Gojo is more upright and better flow, also different instructor's with different perspectives and levels of experience and ability to pass on that experience as is the same for Tai Kwon Do, Basically Tai Kwon Do has better jumping/ spinning Kicks where as Karate is generally more grounded and has more punches/strikes with lower solid kicks.
Tai Kwon Do was created through a combination of Karate and the traditional arts of Korea. The Japanese banned the practice of these arts during their occupation. Numerous Koreans learned some of the martial arts of their conquerors and leater combined them keeping the best parts.
In my experience, I found Tae Kwon Do to be a more advanced and proper martial art than Karate.
Karate, tae kwon do
tae kwon do it is like karate but different