You can control AC or DC 24VAC solenoid valves with OpenSprinkler. The DC version uses a circuit trick that increases the voltage when switched on (boost) and thereby activates the solenoid valves. Shortly afterwards the voltage drops back to the power supply voltage (7.5VDC - 12VDC).
As for performance, it depends on how many solenoid valves you want to operate AT THE SAME TIME.
In principle you can calculate it like this: The starting current of a solenoid valve determines the performance.
OpenSprinkler has a power consumption of approximately 2.2W = approx. 0.1A. A Rain-Bild solenoid valve has a maximum current of 0.3A
I.e. with 4 solenoid valves AT THE SAME TIME you have 4x 0.3A + 0.1A = 1.3 A inrush current, the next larger power supply with 2A should be used. We have various power supplies in the shop.
If you only operate one or two solenoid valves at the same time, you have 2×0.3A+0.1A = 0.7A, a 1A power supply is sufficient. Even if you have 20 solenoid valves but only activate 2 at the same time, that is enough.
Note: This is just an example calculation! Please note the technical data of the solenoid valve manufacturer!
Regarding the distributor, take a look here:
https://dvs-beregnung.de/dvs-specials/plugrain-garten/hunter-wandverteiler