Which studio lighting to get
The best way of stopping action in commonly available lighting comes from hot-shoe flash units. The trade off is that the lower the power the shorter the flash. You can overcome the low power by using multiple strobes but remember that you have to double the number of strobes for every stop. ! becomes 2, 2 becomes 4, 4 becomes 8, etc.
There are a couple of studio strobes that use the same kind of trigger as hot-shoe flash units. One of them is the Einstein from Paul C. Buff. Others are Photogenic Studio Max or Solair.
With all these studio strobes you get a shorter flash duration as you lower the power, just like with hot-shoe flash. The difference is that you are starting with a lot more power than with a hot-shoe flash.
The alternative is to use a flash with a long duration and stop action with a high shutter speed. This works, and the AllienBee lights are frequently used for this, but the shorter the shutter speed the less light since you are only using a small portion of the total flash. Since the shutter is a traveling slit you can also get motion artifacts that you don't get with flash or strobes.
Living and loving it in Bangkok, Thailand. Canon 7D - See the gear list for the rest.