There are different types of rocking horse stands that you’d have to choose from. The most common are the swing stand and the bow stand.
The bow stand for wooden rocking horses has two curved pieces attached to the horse’s legs. This allows the horse to rock when it’s being moved.
For the swing stand, it has turn poles which offer stability. It takes lesser room compared to a bow stand. Swing stands, however, consist of moveable parts and they’re likely to break.