The camera doesn't have anything to do with your lighting. Well, as long as it's got a sync connection for flash.
If you're using large format there are many concerns regarding power.
Either source will work for you. A couple of differences though:
Continuous lighting may be easier to start with because you can see how light shows shadow or glare as you move the light(s).
Monolights or pro flash will have modeling lights that can help but you won't see the true effect of the light until you have a negative in hand.
Continuous lights will be hot for your subject, Flash will not.
Continuous lights will have a color temperature of around 3200k. If you're looking to use color film you filter for it. The bulbs tend to be delicate while they're hot, you will need some spares.
Flash is approximately daylight and fine for color.
Light modifiers can be used with either one.
LED lighting is becoming more common but doesn't give the power of halogen/incandescent