Depending on temperature (normal room for example), mercury vapor will take about 30s to a minute to warm up to full depending on age. It might even be faster with that particular lamp. Basically picture a street light when they first turn on. Those are all normally mercury vapor lamps. With cold, warm up time increases exponentially, especially below say 40-50F degrees.
Control and real black lights (aka non-LED below 400 nM) don't really go hand in hand. They make DMX controllable shutters for some of the lights (Wildfires come to mind). But you are talking a lot of money, not just for the shutter but for the fixture as well. Just a word of warning too, mercury vapor lamps don't like to be turned on and off rapidly.
If you can go mercury vapor, I highly recommend it over fluorescent. Much more powerful, even on a watt to watt basis. But like I said, warm up time can be killer. You can plan around it though if you get your timings down.