I have an H1. The Pocket Wizard Plus X triggers work great. It's a basic trigger. One on your camera, one on your light and they fire. If you are using specific lights, such as Profoto...they offer their own triggers that will work as well. Air system is an example. The D system airs can also be fired and controlled from Capture One if you have the right extras.(dongle and such I believe...) Also, Paul Buff lights have a compatible trigger.
I have never really had an issue with sync speed. I have occasionally had issues hitting 1/800 with cheaper lights...but 1/500 was never a problem. In those cases I tethered one light at lowest power to a sync cord and it triggered the rest. Again, thats been a rare scenario.