I've been studying Japanese swordsmanship formally under a sensei for 15 years now. I study Tenshin Shoden Katori Shinto Ryu (Kenjutsu) and Mugai Ryu Iaido.
Send me a PM and we can chat.
In the meantime, some of this has been stated already..but let me just share a little more with you.
First, I want to make sure that you are not using stainless steel swords. Wallhangers (swords that look pretty and are not meant for use) are generally made from stainless steel. Those swords have rat tail tangs and are not safe to use in any fashion.
There are several ways you can get formal instruction.
1. Kenjutsu (Koryu - which is pre Meiji Restoration and Gendai which is post). Kenjutsu is the art of fighting with the sword after it is already removed from the scabbard (saya). It consists of suburi (warm up exercises if you will), kata, tachiuchi (paired exercises), tameshigiri (test cutting of bamboo and rolled goza/straw-tatami mats, and hei-ho (martial strategy). This is definitely the hardest to find. I am lucky to be able to train in koryu kenjutsu for just over 15 years (with two of those years in Japan)
2. Iaido (the art of drawing the sword (nuki), striking down your opponent(s) swiftly, flicking the blood from the sword (chiburi) and resheathing (noto). There are also old schools (koryu) and new schools (gendai). This is a very precise art and it involves no other training other than very rigid forms. There is generally no strategy, no test cutting, and there is no paired exercises/sparring. The most common and standardized form of Iaido is a modern version called Seitei Gata or Zen Ken Ren. This was formed by the All Japan Kendo Federation. It is a collection of 12 kata from various schools of swordsmanship. It was/is an attempt to standardize kata. There are a few kata from my iaido school in there (Mugai Ryu). Zen Ken Ren is popular here in the USA.
3. Kendo is a sport. It was created after the carrying of and training with swords was banned in Japan. They disguised their training as sport by using shinai (split bamboo poles that represent the sword) and competing for points. Kendo is still popular in Japan and somewhat popular here in Kendo clubs in the USA. There is no real sword work in Kendo. Kendo is pure sport. THere are only four targets in Kendo...the very center of the head and 15 degrees to either side of center. The throat...the abdomen front and sides...and the wrist. In Kendo you must call your strikes as you strike. You yell MEN (head cut) ...DO (abdomen)....TSUKI (throat)....KOTE (wrist). The points are so exact that you must hit them squarely and precise to get a point. Also, your shinai cannot touch your opponent's shinai at the time of strike...or the point is not given. Kendo will not teach you swordsmanship...but it will teach you precision and speed...timing and tempo.
4. Aikido is a martial art that focuses on using your opponents own energy to defeat them with throws and locks. Their use of the sword is very limited. They only use bokken and they do not teach a sword art perse...they teach unarmed vs. armed opponent and the like.
To begin your training...and keep in mind learning from a book is no substitute for instruction...pick up a few things.
1. A nice hickory or white oak bokken
2. A subari-to (weighted heavy wooden practice sword for strength building)
3. A book by Dave Lowry called, Bokken: Art of The Japanese Sword
I can talk more about this at length with you if you wish...and point you to your nearest local dojo.
Here is a pic...the second from the bottom is a subari-to...there are a few bokken and a few swords and a naginata on there as well.
Also here are a few mpegs from my dojo. I am the one in the dark keiko-gi (top) and doing the tameshigiri (cutting). Just to give you a small feel for what it is like.
http://members.cox.net/staticandsilence/Morestuff.JPG
http://members.cox.net/hanashibugeisha/Keiko.mpg
http://members.cox.net/hanashibugeisha/TestCut.mpg
http://members.cox.net/hanashibugeisha/TestCut2.mpg
Regards,
Moon