The generalized answer is you size busbars in roughly the same way you size wire, figure out the maximum current (amps) that will be flowing through that circuit, select a fuse that is larger than that number (1.25x or greater is the rule of thumb) than size your wire and busbars larger than the fuse.
As an aside, your battery does not have amps, amps are not something that can be stored or had. It is a unit of flow. Batteries are measured in amp-hours, which are a different type of unit, in the context of a battery it measures capacity or stored energy. Separating these two terms and concepts in your head, will help clarify a lot when it comes to properly sizing components.
As it relates to busbars and wire and most other components of your system, how much energy is stored by your batteries (amp-hours) is irrelevant, what matters is how much current will flow through each component of the circuit.
If you have a simple system, where all loads are AC (inverter) loads you can get a rough estimate of max current by calculating:
[Inverter Watts] / [Inverter Efficiency] / [Inverter Low Voltage Disconnect]
For example:
3000W / 0.85 inverter efficiency / 12v = 294A
294A x 1.25 = 367A or larger fuse
You can tailor those numbers to your situation, but that will give you a rough ballpark of maximum continuous current.
If you also have DC loads, they should be accounted for as well.