As I understand it, when you put it in commander mode (or disable red-eye pre flash in the menu) you don't get the pre-flash, so it doesn't really matter.
I like wireless triggers myself. They can be had cheap. The pros and people serious about lighting use Pocket Wizards. I use some Amazon.com cheapies because my budget just didn't allow for pocket wizards right now, but they work very good. They are Cowboy Studio brand triggers. They are hotshoe triggers (meant to be used with off camera hotshoe flash, like your sb600), but
as I understand it, they will work with your strobes by connecting a PC sync cable to them (they have a PC sync port). An alternative is a wired setup, using the PC sync port on your camera, or if it doesn't have it, Nikon and some third parties make hot-shoe PC sync cable adapters.
Amazon.com: CowboyStudio NPT-04 4 Channel Wireless Hot Shoe Flash Trigger Receiver: Camera & Photo
That's the trigger I use. Cheap and good! Just buy as many receivers as you need, and you should be good to go!
One note on those, several reviews note them failing after a couple of months. Others note them lasting for years. I have a hunch that those who experience failure don't realize that there is actually a battery inside the transmitter that must be replaced, but you actually have to take the transmitter apart to get to it. (It uses a 23A 12v battery). So when the battery eventually dies, they will become unreliable or just stop working. (The receivers use AAA batteries but they are replaced by just opening a battery door). I use Sanyo Eneloop AAA's in the receivers and they last for hundreds of shots (never had one die yet, I'm always done before I need to change batteries, even if I replace the AA's in my speedlites twice!)