Hi hotglove
Although as the guys suggest, you could go with a system that is both video and still/strobe lighting, this is far from ideal - and I'm not sure that is what you're asking. For still photography you really need the power of strobes - which have a far greater output than video lights. I'd be wary of trying to do both with one form of lighting.
As you have seen, video lights are expensive - as are strobes! If video is your primary focus, my suggestion would be, as you say, get one powerful video light (minimum 10,000 lumen) and see how you get on. Then think about a second as you become clearer on what type of photography will be your prime goal: video or stills
If you are planning to shoot stills, do you have a preference for macro or wide-angle (WA)? For macro you can get away with less powerful strobes (for example the Inon S2000) - but if WA is your main focus you will want something with more power - for example the now discontinued Inon Z240 or its successor the Z330. You can get away with one strobe. Two is not a must.
Have a look on the WP Classifieds (as you have probably done already) and you can find deals on equipment in very good condition. Keldan lights and Inon strobes have very good reputations and are used by many WPers. I'm sure others will chip in with recommendations on lights (not my area of expertise). If you have the budget and think you are going to be serious about still photography, I think the Retra strobes are brilliant. But no use for video.
The lights/strobes (and associated arms/clamps) you buy are, by my experience, some of the few items of u/w photography equipment that can stay and grow with you as you change cameras and housings. So buy well in the first place. It's worth, I'd suggest, a bit of an investment in these items as they should last you through several camera/housing iterations.