How were horses raised in medieval Europe, esp. warhorses? Was it small-scale or were there giant vertically integrated stables?

by iZacAsimov

Did they clear large areas of land for grazing or did they bring in fodder from farms?

harpwneer

To expand on this question slightly, what were the biggest limitations in fielding a sizable mounted force? Did these limitations change throughout the medieval period?

Xxxn00bpwnR69xxX

To similarly expand on it, what was the societal role of horse breeders?