Saddles and bridles have developed over the centuries, but the shape of the horse keeps much of the tack similar. Much of the Tudor period tack has vanished over time, but we do have a few pieces preserved in museums. Below, I have pasted a picture of Queen Elizabeth I's saddle now housed in Warwick Castle. Much of what we know about the tack is from paintings and woodcuts.
Barding or Bards is a refers to the decorative or often necessary protection that covers the horse in addition to the basic saddle and bridle. Examples are pasted below.
Side-saddle from the 16th centrury