Yep, to drive those powerful chargers you need an even bigger power supply. Just be careful to get one with both enough watts (charger watts plus 20%, minimum) but also one that delivers the correct voltage. For instance you couldn't use a 24v power supply with the Hitec because it's 18V max input. The iCharger or Powerlab on the other hand are fine for a 24v input.
PS.. if you want my personal recommendation it would be the iCharger 3010b. This is a mega power house of a charger, top quality and also quite compact. The only downside as i mentioned earlier is it's single output so if charging multiple batteries you need to use a parallel board and can only simultaneously charge batteries of the same cell count and they have to be at roughly similar voltage. With multi output chargers you have the added flexibility of being able to charge totally different batteries simultaneously.
It really depends what you want to do with the charger.