There are three or four schools as far as I know they are all based in Kyoto.
It's a beautiful ceremony. My wife has been studying tea ceremony for maybe 30 years or more. In some ways the practice is cult like.
I was raised catholic, one day my friend who is a long term Japanese resident blew me away.
Chado, has many elements in the ceremony that mirror catholicism. Many elements of the tea preparation mimic the consecration of the host and the catholic practice of turning wine into the blood of christ called Transubstantiation
https://en.wikipedia.org/wiki/Transubstantiation
Each episode of this series would start with a narrative historical preamble. One of these compared the traditional gesture of wiping the tea cup in the Tea Ceremony with a similar gesture made at the end of the Eucharist during the ablutions. The narrator then claimed that the Christians picked up this gesture from the Jesuit missionaries to Japan, who learned it by observing the Tea Ceremony. That claim sounds dubious to me, but I do think it makes sense that both ceremonies would arrive at similar gestures through independent evolutions.
It also follows that a priest looking to master the rituals of the Holy Table could learn much from the Japanese Tea Ceremony (and perhaps vice-versa). The aesthetic of the Tea Ceremony will be recognizable to anyone who has studied liturgy. The Japanese sought to embody harmony, respect, purity, and tranquillity.
http://taymoss.blogspot.jp/2010/10/japanese-tea-ceremony-and-holy.html
It's not clear to me who originated what, but that they're ritualist similarities is unmistakable for anyone raised catholic and also participated in tea ceremony. My friend thought the Japanese learned it from the jesuits, but it's unlikely we will know who imitated who. Japan had an era of accepting christianity until a shogun decided to kill them all. They boiled some christians in volcanic hot springs (nagasaki) and the religion was stamped out. His theory was that through tea ceremony Japanese could continue catholic traditions on the down low.
https://en.wikipedia.org/wiki/Christianity_in_Japan#Persecution_under_the_Shogunate