Those types of continuous lighting sets work, but aren't great as beginner gear for portrait photography, simply because they lack much power/light output, and the more you have, the bigger the lighting ratios are that you can use. And lighting ratios are how you get that "studio look" with off-camera lighting. In addition, the light stands may not be air-cushioned, and umbrellas or other modifiers may be lower grade and not stand up to hard usage.

Being able to turn the background black or white simply by lighting it requires that you be able to make your subject (or background) much brighter than the other. Low-powered CFL continuous bulbs are basically just about as bright as the ambient, and not a lot more. Some kind of strobe/flash lighting is generally going to be more useful, because you can get a lot more power. But it will be harder to learn to visualize, if the flashes don't have modelling lights (small continuous lights that can give you a sense of what the strobe's light will look like in real time without having to take a picture).

You may want to consider going Strobist with off-camera speedlights (hotshoe flashes), or using plug-into-the-wall studio strobes, or a combination of the two. Everybody tends to recommend what they like, but if you're willing to take a gamble on low-cost Chinese-made gear, the brand I'd say is worth looking at is Godox. Yongnuo is great, but doesn't work that great as a lighting system. Their three separate radio triggering systems are mostly incompatible with each other, and mixing TTL and manual gear or speedlights and studio strobes can become incredibly difficult. Godox has designed their system of lights and triggers to interoperate together, so upgrading from speedlights to bare bulb flash to studio strobe is relatively easy, and integrating TTL and manual gear is relatively easy.

Cybersyncs can only power-control Paul C. Buff strobes. Not speedlights. Yongnuo triggers can only power-control YN speedlights, but not studio strobes (ok, the Yongnuo YN-300W can take a 622C, but...). Godox X1 triggers let you control both Godox strobes, as well as speedlights and probably give you HSS as well as power control--even over Godox's manual flashes in the X1 system. A YN-660 and YN-560-TX costs roughly the same in USD as a Godox TT600 and X1 transmitter.