Kendo is a sport-based art modeled on the traditional sword techniques. Players use bamboo 'shinai' and wear full body armour and compete in full contact sparring matches, where you can only strike the opponents head, chest, wrists, and sometimes throat.
Kenjutsu is the traditional study of sword techniques, forms, and cutting practice... no sparring
just technique and focus.
Iaido or iaijutsu is the art of drawing the sword... lighter swords are used and lightning fast drawing and sheathing of the sword is emphasized, to kill with a single technique.
There will be FAR more kendo clubs around than reputable kenjutsu or iaido clubs... look up a kendo club, or go talk to the teachers/owners of other martial arts clubs in your area (aikido has some sword training as well... a good aikido teacher might be able to direct you)
edit: looked at the iaido club link above... they're legit - go there if you can.