Hi!
I have read and understood your project thoroughly. I have come to know that you require a logo design.
I will design a logo as per your requirements of the selected type of logo Flat, minimalist, mascot and geometric. Here is my adopt procedure for the logo in illustrator.
First of all, I will sketch the logo on paper with a pencil. If you like that design I start to design in illustrator.
The required tools for this logo design that I will preferably use the shape builder tool, pen tool along with pencil tool.
and the manipulation of vertices. For the final touch, array, pathfinder tools, gradients, guides join and reflect tool will help me out.
Another suggestion this will be easily done by golden ratio circles.
But your suggestion is more valuable for me.
Here is the link of my previous work
Best Regards.