IMHO, ask for a data sheet or wiring diagram for the equipment.
Ok, you know that the new load is potentially a very large portion of the existing service, but you don't know how much because you don't know how many will operate concurrently. (800 * 208 * 1.732 = 288kVA service, 24 * 30 * 240 = 173 kVA of total new circuits, which is more than the total new load but you don't know how much more.)
Still you probably want to balance the loading across all 3 phases.
The key thing you need to know is if the loads are all true 240V L-L loads, or if there is any 120V L-N loads. Control boards are often 120V, but it is very common for industrial machinery to have an internal transformer to provide that 120V. If you have 120V L-N loads, your transformer choices are tightly constrained. If your loads are pure 240V with no neutral reference needed, then you have lots of choices.
In particular, if you have no L-N loads and no L-G references, you can use buck-boost transformers which are much cheaper.
-Jon