My strat is to have multiple cav armies. When the battle starts, I target every HA there with at least 2 cav units to ensure that I win. Since the HA will skirmish away, footarchers will not be alot of problem and my large numbers of cav and by having them stay in groups protects them against mongol heavy cav. Once the mongol's superiority in mobility is taken care of, I just surround and charge the enemy