I meant to add that if you expect to use the lathe predominantly with large and heavy work, say 80mm diameter and bigger, then BXA might be a slightly better choice. But the AXA can still manage everything, though perhaps at lower rate of material removal. On the other hand, the smaller the better for intricate work where the AXA can easily use 10mm and 8mm tooling. The BXA works out a lot more expensive once you add everything up.
Do indeed be sure to get the wedge type which I think is 250-111 (AXA), but do check carefully. The piston type does not provide the same rigidity or positional repeatability accuracy. The same tool holders are used for either clamping system.