I am probably unnecessarily concerned, but if you use the bobblehead stand or magazine rack instead of keeping them in your inventory, do you still receive the benefits of the items? It would be counterproductive if that were not the case. I have not seen any thing that states they work the same on the stand/racks as on your character so just wanted to ask. Thanks!
Picking up a SPECIAL Bobblehead gives you a stat increase, just as if you'd picked it yourself as a Perk. This happens as soon as you pick it up. There's an added benefit that if you're already at 10 in that SPECIAL, the Bobblehead will push you to 11.
Picking up any other Bobblehead grants a special perk, but it doesn't show up anywhere you can see it.
Each of the magazines grants a special Perk that show up in the list in your PipBoy. Some stack (e.g. Barbarian), while others do not (like Astoundingly Awesome).
In either case, once you've picked up the magazine or Bobblehead, the actual object is completely useless. Put them on display, dump them in a river, fire them from a Junkjet (maybe?). In any case, the actual object no longer matters.