A hinny is the hybrid made by crossing a horse stallion with a donkey
mare and the hinnys favor the horse side of their heritage. It's a whole
lot harder finding a horse stallion to mate with a donkey (in Peru such
stallions are called muleteros and they are "made" by taking a colt at birth
and having it raised by a donkey wet nurse so it develops the proper sexual
fixation. The mules/hinnys are generally even better gaited than the
horses!), and the donkey mares have a lower rate of conception when producing
a hybrid.
To see a huge collection of mules of various types plan on going to a
Mule Days, with the one in Bishop, CA on Memorial Day weekend being the
biggest and best:
http://www.muledays.org/