Can I wield a potion in one hand and a two-handed weapon in the other? I am wondering if I can move action drink with accelarated drinker, free action drop potion, standard action cast spell/use ability, free action grip two-handed weapon with other hand, then full-attack the next turn.
Benefit: You may drink a potion as a move action instead of a standard action as long as you start your turn with the potion in your hand.
Two-Handed Weapons: What kind of action is it to remove your hand from a two-handed weapon or re-grab it with both hands?
Both are free actions. For example, a wizard wielding a quarterstaff can let go of the weapon with one hand as a free action, cast a spell as a standard action, and grasp the weapon again with that hand as a free action; this means the wizard is still able to make attacks of opportunity with the weapon (which requires using two hands).
As with any free action, the GM may decide a reasonable limit to how many times per round you can release and re-grasp the weapon (one release and re-grasp per round is fair).
—Pathfinder Design Team, 03/01/13
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There's a difference between holding and wielding a weapon. Wielding is not consistently used everywhere but usually means "holding and ready to be used", which you need two hands for with a 2H weapon. But just holding/carrying it around requires only one hand.
So yeah, you can totally carry your greatsword in one hand, potion in the other. Then at the start of combat you drink as a move action and grip the sword with both hands as free action and attack. Or cast a spell and then grip with both hands, and be ready to make Attacks of Opportunity.