There are several equestrian disciplines in which lightness is a major advantage, and falconry on horseback is one of them.
When I think about a horse for falconry, I first think about its vision and its responsiveness to visual stimuli: if it rushes away from a falcon fluttering its wings ten meters away, then there will be a lot of work to desensitise it; if, however, it continues to calmly chew its grain while you struggle around with bird right above it head, then you have got yourself a serious candidate.
During the day, you have to dismount and remount several times in the saddle: the smaller the horse, the easier it will be.
The third required quality is courage and a sure foot. If your future hunting horse stumbles at every step, if it lays down at turns, if the passage of a ditch sets off a crisis, then you have got your work cut out for you.
Those who already picture themselves leaving their home riding their favourite horse with their falcon on their wrist are in for disappointment, at least if their goal is to fly and capture.
A minimum of two horses is essential, one for the falconer and the other for a "squire" responsible for keeping the horses in hand when the falcon has made a catch in a place only accessible on foot: a garden, crops or a golf course fairway or green. However, you should not have more than five or six horses to protect your public image and the safety of the falcons.
A support vehicle, which can transport relay falcons and will aid in finding a bird that has switched into its "migration" mode, is also essential.

Image :
Henri Desmonts and his horse Jim hunting