What is the max bombs and potions you can carry?

You can carry all the potions and bombs you want, but you can only carry a certain amount of the same potion. For example, you can only carry 3 swallow potions (4 when you upgrade them to enhanced swallow and so on). But things like this can be modded. There is already a mod which modifies the duration of potions, their power, and the amount of potions you can carry.

They work exactly as potions in that aspect. Find the enhanced formulas and expand the the limit, or download a mod :)

There's also a decoction that increases the amount of potion uses by 1. So you just drink that at the start of a day (ie. after meditating) and then you have +1 uses on every potion..