I've had no batteries catch fire or explode, except some nicads back in the 70s which overheated exploded and melted some carpet, in 50 years.
I store my batteries in ammo boxes partially charged nowadays, but before that just looked after them, threw away the puffies or physically damaged ones and use a decent charger.
I'm also older than you're dad, so lets not use that as any factor in batteries catching fire. 58 being old.. Pah
If you have a damaged lipo ( they are only protected by a thin plastic pouch) chuck it. if you have a cheapo charger, chuck it. If you have electrically abused the battery, chuck it. That's how to stop batteries nuking.
Don't use old batteries, if you have been using a battery for Airsoft for a year get a new one, you've likely dropped your battery more than once, either in the gun or just being lazy and chucking it on the table. Lipos are soft and will deform if you drop them.
I neither charge my batteries attended or place them in a nest of kindling, just use sensible charging currents and a proper balance charger.