This description is weird, it's not miniatures, but actually the fast-travel bots at each location.
Here are all the ones to find interact with and register:
Time Machine Station
Recreation Plaza
Time Nest
World Martial Arts Tournament Arena
Dragon Ball Pedestal
Mushroom District
Ajisa District
Bamboo Forest District
Patrol Headquarters
Resort District
Patroller Academy
Hercules House
Capsule Corporation
Guru's House
Majin Buu's House
Frieza's Spaceship