Let us all remember that the sword was always a secondary weapon. A pole arm, a spear, a pike, a lance, a ranged weapon, but never a longsword. Swords are not handy in massed battles in which troops fight as a unit in a formation. A sword is like a pistol of the modern age: a status symbol, a last resort.
Two handed swords were used to some extent, but not as widely as other oversized can openers. In fact, the Landesknecht, some of the most famous two handed sword wielders, had only 5 swords in a unit of 120 men, the rest had pikes as primary weapons: The swordsmen burst out of the spear wall formation, and with their massive blades try to render the enemy's pikes harmelss, creating weak spots where the opposing formation might break.
Depending on the situation, I would choose either spears/pikes/halberds, bows/crossbows or swords. For a large battle I would want my troops to wield versatile polearms, capable of fending off cavalry, smashing armoured troops and capable of carrying shields for protection. For smaller confortations, the bows/crossbows. Longbows were terrifying weapons, volleys were capable of devastating entire formations over extreme distances. Crossbows were not used for the same purpose ast the longbow They were used on shorter distances, firing directly at the enemy, instead of indirectly raining death upon them. On these shorter ranges, the crossbow was a fearsome weapon, rendering much of the available armour useless.
Swords would be optimal for duels or chasing down fleeing enemies on horseback.
A few things about medieval swords and armour: A sword, even a two handed monster, doesn't weigh a million tons. They are actually fairly light, a simple longsword weighs only about 2 lbs, a greatsword around 4-5lbs. Western longswords were maserfully crafted, versatile and durable weapons, contrary to popular belief. Cheap, badly made modern replicas are partly to blame for this misconception.
Medieval western armours are the best man made protection ever. (for their time, obviously) Before firearms developed enough to be a considerable threat (late 14th century), a trained knight in full plate armour was virtually untouchable in close combat. Also, westen knights were not clumsy and slow, a suit of armour is surprinigly flexible and trained knights were more than a match for anyone. Hype about unarmoured and agile ninja- like fighters beating heavily armoured warriors is utter nonsense. Speed is not protection. Medieval two handed swords were much, much faster to wield than you might think.
A sword, no matter what kind, won't cut through metal like in hollywood movies. Even chainmail was enough to stop a blade(not to numb the blow, however). Only a few weapons were capable of actually penetrating proper armours: a heavy halberd might cut it, a morning star if it was heavy enough, a good sizeable axe, warhammers were quite effective and lance in a mounted charge has just too much kintetic energy for any plate. If one wanted to wound an armoured foe, tough luck. A strong blow to a weak spot in a suit of armour worn by a trained warrior is always a long shot. The best way to dismember knights are ranged weapons combined with taking advantage of the environment. Which is why knights were more often captured and ransomed than killed. They were profitable POWs.
(got a little sidetracked there, sorry)