Yes, I am interested in Kenjutsu specifically (although there are many styles of it), but in case there is no legitimate school, I will choose HEMA.
Thanks again. I am a person with no experience according weapon training, so which of those 3 schools would you recommend the most?
Since I am a complete newbie in the area of weapon arts, could somebody please explain the styles and differences between all those 4 schools that have been linked?
http://www.koryu.com/ Koryu arts are quite different to regular MA training. Read the articles via the link, and see what you think.
What in particular are you looking to study when you say kenjutsu, i.e. which aspects of learning the Japanese sword in particular interest you the most?
Do you know if any of these schools also incorporate sparring? In my opinion fighting, be it light or full contact, is required in every martial art, that includes sword fighting.
I can't comment for all but you'd be better off asking Delaney Sensei about what he teaches. Like Dead Pool said koryu are a little different and you need to understand the place of kata practice, what it entails, and how it can relate to randori. Delaney Sensei can throw down, trust me, but koryu practice has many layers and weapons practice in particular has some nuances that need to be appreciated.
A few years of kendo training sound right up your street. It's a good foundation for kenjutsu, plus its very randori heavy.