No one exactly knows how this clan started or who is in it. The clan was created by an Uzamuki and an unknown person. Most of the clan is from the leaf village, it is possible they were killed when the populace turned against the bloodlines. The Uzumuki's prefer their clan name to stay how it always was because only 5 familys have the Shisurika.
Like the Hugga clan they try to hide there bloodline tequnique from the rest of world as the secret of the Shisurika may get out. Although Shiruka acts very loud he also secretly hides his true skills. Until he became the Kazekage.
Clan's Role Today in relation with your character:
Kendori was created by an Uzamuki and an unknown person. Every 4 years the clans from the village comes together and teaches the Academy students the basic skills of there bloodline tequnique, the Genin a higher level, the Chunin an even higher level and the Jounin the second highest level ever. The Hokages of other villages are the only people knowing the true skills.
Clans secret techniques or bloodline traits:
the clan focuses the nine tailed foxes chakara into there hands being able to use the gentle fist style but enhancing it with the red chakara. By going into the 1st jinchuuriki the tail can extend and atack from a long range using the gentle fist style with the tail and other limbs. 2nd jinchuuriki is the same but using two tails. The 3rd is the same butwhen the huge detrutive sphere comes into play they can combine the 8 trigrams heavenly spin with this technique to make it even more destructive. If a clan member goes out of control the clan has a special hand seal named fuuigi sealing technique so a diferent clan member can use this to withdraw the opponents chakara to the place of wich it came out.
3 brothers from Kendori (Ensoru Uzumaki, Terzuku Uzumuki and Hei Uzumuki) ran away from the leaf village and gathered people to join a team called Mesured. Then the boys turned on their clan and wiped out almost the whole clan. The Kendori were unrecognized for decades until lots of the members became Jounin in different villages and Shiruka Uzumaki became kazekage.
every 4 years the youngers are taught the basic techniques but teaching the gentle fist style is left to the parent or caregiver.
I changed it