Yeah, you definitely need to study how ZSpheres work a bit more. Your arrangement there has multiple ZSpheres connecting to the same “face” of their parent. It’s actually what I expected to see from your oringinal post.
Each ZSphere actually skins as a cube with six faces. You want only one child to connect to each side of that cube.
So what you want for your model is to create something of a fork-like structure with your ZSpheres, with each finger being a tine. This will give you a total of five smaller ZSpheres making up the palm, which will resolve the fat hand problem AND give you a much cleaner mesh.
Like I said, be sure to run that forum search and check out other people’s hand models. You’ll quickly get the hang of things. 