Fencing is a great sport to do. I fenced for a few years and have done a little bit of coaching too.
There are three types of sword, foil, epeé and sabre.
Foil tends to be the training sword but is also very popular as a main weapon in the UK. The target area is just the front torso. Epeé is more a classic dueling sword and the whole body is the target (not including the back of the head). Sabre is more a cavalry sword and uses the blade (the other two score with the point). Sabre targets is above the waist.
Fencing clubs tend to be very friendly places and amature competitions are lively. Some of the kit can be quite pricey but a club should be able to have stuff to use.
Fencing is a very tactical sport but you do also need quite a high level of fitness too. There is a lot of training involved and quite a high level of discipline and tradition.
If you need any other info feel free in sending an email.