What is the most logical next event?

How to fit a horse for support boots
Figure out what type of boots you want.
There are boots made for cross country jumping, open front jumping, dressage/flat work, as well as support boots and all-purpose splint boots. Research each type of boot and decide which type suits your riding and horse's needs.
Young horses should not be doing any work that needs support boots. Until its body is fully mature, between five and eight years old, the horse should stick with simple, straightforward exercises.