I would focus on items which will be impossible to manufacture post-apocalypse,focus on items which will be impossible to manufacture post-apocalypse, because the industrial infrastructure will be gone. Interestingly, this does not include, for example, a hatchet or a knife; those can be manually manufactured from scrap iron which will be abundant. Also, if the chest is found the kitchen remains are found with it anyway. Knives (at least their blades) will survive being nuked.
Which tools are most valuable? Some precision tools;precision tools; probably a generatorgenerator (to be connected to a windmill built post-apocalypse), possibly some copper wire.
Edit: These days, probably a sturdy foldable camping solar panel.solar panel. No moving parts, minimal maintenance, life time of decades if you can live with performance degradation and nobody breaks or steals it.
A few select items which need power. Which ones? Not sure. Possibly walky-talkies. The strategic advantage in a defense (or attack!) situation will be immeasurable. If taken good care of they may last for decades. What fails first are the batteries, but slower when cool and unused -- store replacements. Possibly provide means (lead, acid, acid production means) to produce car style batteries post apocalypse. It may also be wise stocking a few electronic parts (especially capacitors since these fail fastest).
Edit: Antibiotics will be invaluable and not only protect you yourself and yours, but also give you power over others (if you keep the stash location secret). Unfortunately most antibiotics have a limited shelf time (some years when kept cool). There doesn't seem to be a consensus out there how difficult it is to grow your own. You can always eat moldy bread and hope for the best, but that may just be your lynch pin if you are very sick already. I'd do test runs and self experiments, possibly with bought lab penicillium cultures. If I found a nice one I'd try to put spores in the stash. They may save lives even generations later.