My process for creating logos usually starts with an Apple Pencil, iPad Pro and the Procreate App. I begin sketching ideas with a single color over and over until something sticks.
Once I have a design I am satisfied with I move the project into illustrator. While in Illustrator I can then build a single color vector logo from the sketches I created in Procreate.
Lastly, I work with the single color vector to create color schemes and other variations to be used in web, print, etc.