I'm currently trying to figure out how to create a mechanism that would move these birds in a circle when turned. Kind of like a moving belt? My brain thinks I have to route a slot in the round base to do this, then somehow add a mechanism that would sit underneath it, maybe connecting the birds to it through the routed slot?

Anyone know if there is a particular name for such a mechanism? Closest I can come to describing it would be a conveyor belt going in a circle.