Is there any way you can put the figurines out of reach of the dog? Or just not let him in the room.
Space is rather limited for me. I've been doing the whole hobby for about 15 years at this point, and have always had a habit of sprawling multiple projects out across the room, and while older models were fine being shoved in a shoebox with some bubblewrap when I needed to put them out of the way the more recent stuff needs a more delicate touch and bigger containers, which gets expensive fast. On top of that my room is also where I store all of my other stuff and some of the supplies for my own pets.
I have a set of shelves in the garage, but they're mostly occupied by spare reptile/fish stuff like quarantine tanks and travel tubs. Not enough space for me to set up boxes with foam or magnetic trays to store things in. Somewhere upwards of 90% of everything I own is in the one room.
As for keeping him out, that works until it doesn't. I spend most of my time in the room, and remembering to close the door everytime I go to the bathroom or to get a drink isn't easy. Every now and then I relax, forget to close it properly (it has a door spring that I bought to close it behind me for this exact reason, but it doesn't actually shut it anymore for some reason,) and then I come back to find the dog has taken the chance to go poke around. Usually doesn't result in anything being damaged, but when it does it's always something valuable and impossible to fix.
I almost never used to keep my door shut, it was always open for the cat and the tortoise to wander in and out as they wanted, now it's shut near constantly.