Let's not get personal about this.
I accept that some very good photographers use continuous lighting, but as I've said before, they don't use the junk sold on Fleabay...
And they have stable electrical supplies that produce the same colour, shot after shot...
And they generally photograph people who aren't fazed by the uncomfortably bright lighting either...
Most of the people on this and all other forums are not experts. Their sole reason for thinking that continuous light is better for them than flash is usually that the sort of lights they're looking at are cheaper, although WYSIWYG may come into it too. Or maybe they don't know what can be achieved, modifier wise, with studio flash and only have experience of hotshoe flash.
People tend to have strong views about all sorts of subjects, often there is SOME merit in every view and every argument, but some of the things that people say are just plain rubbish. For example, just a few days ago I had an email from someone in France asking whether Marc Gouguenheim really did use a flash fresnel spot for this shot
Well, yes he did, but the person who asked said that she was asking because
"I ask this because I was told several times that, as strobes being much more powerful than hot lights, the barn doors, when strobe is used with this kind of fresnel spot, aren't able to control the massive output of light and therefore light tend to "dribble". In other words, no way to replace hots lights with strobes."
Well, that's a pretty silly thing for people to say to her - light is light.
The OP asked about cheap lighting. IMO s/he should get a cheap studio flash head, like the SmartFlash at £106, the softbox will be extra. If s/he prefers continuous then there's the Quadlite at £125 including the softbox, it's a bit cheaper but it isn't as versatile. Will Cheung used the Quadlite for a still life shoot and I'm glad he likes it, but although I personally accept that there are people who, for whatever reasons, like continuous lighting, I tend to recommend studio flash because of all its various qualities.
When I started out as a photographer I had no choice, it was continuous or nothing - now that I have a choice, I choose flash.