Taja the Barbarian
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As noted, you can use one wrist sheathe per arm, though the hand on that arm needs to be open to catch the potion.
Beyond that, you could use something like Gloves of Storing and try to convince your GM that you have a 'six pack' of potions as a single item, but this is not a particularly cheap item...
Alterately, a Sipping Jacket offers some (limited) ability to get an additional potion active as a swift action.
Finally, if drinking potions is really important to you, you could get religious about it and take the Potion Glutton feat.
Just keep in mind that every potion you drink is gold spent: Consumables should generally be used fairly sparingly.