Keep it simple.
Car wax should work on the metal. Lanolin of some sort on horn. If you are rural, a bag balm of some sort should work. If not, some stuff from the drug store with high lanolin content. Dunno about wood, maybe termite protection? If not, then furniture polish of some sort should work.
The biggest damage-causing culprit, after moisture-creating rust, is dramatic change in humidity.
Don't fret. These things are made by folks who use them daily as tools to cut, dig, slice, dice, and rarely, intimidate. They are the top of the line--far beyond local renditions of the same things which last for generations.
Take it easy. They will be fine. It is going to be ok. You have a support group here.
"My name is Kismet, and I own H.I. products."