Protection on those generally was by having layers like an onion, fences with armed guards, then inside that a high wall with barbed wire, more guards with guns, then inside that a hardened armoury, with the bombs themselves stored inside in further armoured cases. Keys held by different people, and you need to pass at least 5 layers of ID before you get to the door of the armoury, and there you better have a name and photo on the allowed list, and a reason to be there. Once inside you need keys, and 2 people to undo the locks, and then you have the actual bombs.
From there they are not protected, just by virtue of being both insanely poisonous if you open the protective covers, and by being radioactive as well. Plus you will find it hard to carry them out without the right authorised paperwork and the right carriers. Then there are the separate things in that the firing mechanisms are separate from the bombs, under even heavier security, in a separate armoury, with different guards and different access lists and keys. The destruct charges are there for the carrier system and the weapon trigger electronics, the idea is the actual weapon capsule survives so you do not spread radiation all over till you really want to. It is designed so the explosive charge burns rather than detonated, mat result in local radiation release but better in one large lump than dispersed.
Hard to grab them, and going in in force will result in the alarm being raised, and a reaction force arriving with pointed questions, and itchy trigger fingers. If they have to leave the Armoury they go in a big convoy, with heavy weapons support as well.
But, till you actually arm them on a system, they are relatively harmless, just like all military explosives. Now, if you want touchy things, try cluster munitions, or fuzes, especially those that are getting on the old side, or which have been stored improperly or which have had the safety removed for any reason. Those are very touchy, as in you might have a full military funeral with empty casket touchy.