Collectibles locking
you should be able to buy at the TP or craft with an armour-crafting craft, get an “invisible bag”, which does exactly that.
Some thought provoking quote
Ad if you have HoM miniatures, you can just grab 250 of each, and store them. Any more you get won’t be stored as 250 is the cap, so you can keep them even without invisible bags.
Even better would be to have a pet slot in the equipment panel, that automatically tries to put out the pet while the checkbox for it is marked, so you don’t have to do it manually when zoning.