Your fencing masks will be a big help, I highly recommend using those. For your hands, I like to use hockey or lacrosse gloves since they're designed for that kind of protection. Ideally for the chest you'd have some kind of padding, at TPLA we use all kinds of different things from motocross armor to fencing gear. I still have my coach's vest from when I was coaching foil, so I tend to use that to protect my torso at least (although something to protect the shoulders and/or arms would be nice)
Thanks for the advice, Master Nero! I'll definitely look into that, especially as I'm hoping for armor that doesn't hinder mobility too much.