Carburettors themselves do not normally have any minimum pressure requirement, only a maximum, as this is determined by how much pressure a closed float needle valve can withstand before fuel starts to flow, and flood the carburettor.
You need firstly to choose a pump that can deliver the peak flow rate (eg gals/hour) which your engine/carb setup requires under maximum throttle, maximum rev conditions. Once this is known, you need to select a pump with a pressure which is adequate to lift the fuel from the lowest level in the tank, up to the carb level, and overcome the pressure drop through the hoses, unions and the needle valve, but this value must not be higher than that which a closed carb float valve can withstand.
For example, if you have a high flow demand system (eg big V8) with a typical Holley street carb (usually max pressure 7 psi) then you may need large bore fuel pipes to ensure you achieve the required maximum possible flow rate. One trick to achive a high rate without flooding your carb is to use a high pressure pump with a pressure regulator at the carb input.
In summary, pump selection procedure:
1. Determine float valve limit pressure.
2. Decide on flow rate required.
3. Decide on pressure required to attain flow rate. If pressure is higher than max allowed, either change carb/float valve; increase hose sizes or use regulator.
4. Select pump to achieve the above.
I have found that Facet pumps can overpower Holley carbs. One pump I can recommend is the Carter rotating type. They have a fantastic flow rate with modest pressure suitable for the Holleys.