I was lucky enough to do a little fencing many years ago. We practiced with foils.
Fencing teaches good balance and body posture. What I find most fascinating about fencing, however, is that the footwork is linear but the foil manipulation is circular.
If you have ever practiced Chinese martial arts, you have used techniques where you block a punch with a circular block then slide the blocking hand in for a strike. I think you will find some of these same principles in fencing.
Good luck, have fun and thank you for your comments.