"Easily" is a relative term. What is easy to one person, might not be easy to another. However, although there are many versions of karate, and numerous variations of Taekwondo, they have many similarities in philosophy, classroom training, rank structure, and self defense techniques. Although there are some significant differences, it should be no problem making the switch from one to the other. It really depends on the individual, and how much you are willing to "empty your cup" and open yourself up to knew methods, and following the guidance of a new instructor without mental conflict or adversarial questioning.
When permitted, productive and positive questions posed respectfully, and at the appropriate times might help to learn better, and explain the difference between what you learned before, and are learning now. However, it is often not a matter of one being right or wrong, but different tactics, philosophies, and strategies that are taught uniquely in each system. It is usually best to put those differences aside in you mind, and be 100% open to learning.
karate and judo
Karate.
tae kwon do it is like karate but different
Karate, tae kwon do
In my experience, I found Tae Kwon Do to be a more advanced and proper martial art than Karate.
Karate is not and hasn't ever been an event in the Olympics. Tae Kwon Do is an Olympic event.
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.
The name Tae Kwon Do, means - tae - "to stomp, trample", kwon -"fist" -, and do - "way, discipline"
Kwon means to "strike back or break with fist" in korean. The original founder of Taekwondo studied Taek Kyon and karate. Over time other masters have expanded the style and added absorbed bits of multiple styles. I don't think there is a 'kwon' that is the root of Tae Kwon Do
Martialarts include Tae-kwon-do, karate, kung-fu, and many other styles.
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.
Okinawa Karate * Shorin Ryu * GoJu Ryu * Shito Ryu * Wado Ryu Korean Karate * Tang Soo Do * Tae Kwon Do * Hapkido Japanese Karate * Shotokan