I would recommend that you learn Roux.
I personally use CFOP, but I would say that Roux is at least just as good. Additionally, Roux has fewer algorithms at all stages, for example, if you were to use two-look CMLL (a step in beginner Roux) that would be 9 algorithms, while CFOP 4 look last layer would be 12 algorithms (this might not be exact, depending on how you count it). Full CMLL (a step in advanced Roux) uses 42 algorithms, while full OLL and PLL in CFOP use 78 algorithms.
Overall, Roux has fewer algorithms and relies more on intuition, which is nice in that you don't need to memorize that many algorithms but can be quite offputting since you need to learn and understand significantly more advanced concepts like edge orientation, block building etc., which I do think would have been difficult for me to grasp as a beginner. Since you want a method with as few algorithms as possible, I think that Roux would be the correct choice.
This is a link to a great
tutorial by Kian Mansour, who is one of the best Roux solvers in the world.
If you find that you are having difficulties understanding stuff like block-building, EO, commutators for LSE, etc. when trying to learn Roux, then you might want to give CFOP a try. Although you would have to learn more algorithms, it certainly does not require you to understand any particularly difficult concepts, and as you progress, I think you'll find that learning algorithms becomes much easier.
ZZ probably isn't the correct choice, since nobody really fast actually uses it, and it requires way, way, way more algorithms to actually make it worth-while compared to CFOP and rotationless F2L won't do you that much good as a beginner.
Also, if you are using a Rubik's Brand, as
Llewelys said, you should try to switch to a speedcube if possible. You'll find that many of them are suprisingly cheap, including the
YuXin Little Magic 3x3 which is only $4.99, literally cheaper than a non-speedcube Rubik's Brand which is $10 on their official website store. You'll find that the difference is astonishing.
Best of luck to you.