While I can not speak to how to control a furry horde I can speak to how they beat me and how I beat them.
What they do that hurts me.
Spell the 13th. Massive out put of damage. Also large units that stick in the way for turn after turn. Doomwheels warp lighting cannons. Gutter runners are also a huge money winner.

What I do that hurts them.
Rat on a bell kill him and watch the armies leadership drop like a stone. Catch units outside of leadership so they are steadfast on 5 or 7 instead of 10. Beat down their massive units quickly so that when combat is joined they have less effect.