Here is my system.
I then have 4-6 lists and headers stapled to the wall. When I make my resources for my TpT store I usually include a "header" with each game or resource (you can type up your own as well). I mount and laminate a header or title for each center. Soon my center wall (I have one for language arts and another for math) looks like this.
I add velcro to each of the heading pieces as well as the backs of the center names.
I hang a vis-a-vis marker on a string by the lists.
I choose which centers I want to make sure that my kiddos visit that week and place the title pieces on each header.
Now, as each student completes a particular center they use the vis-a-vis pen to make a check mark by their name. At the end of the week, I can quickly wipe off the check marks with a wet tissue, and change the headers for next week's centers, and am ready to go!
I have, of course, modeled how to record their progress and I normally have an accountability piece (worksheet, project, or writing) for each center. My kiddos also know that I check to make sure they they have indeed completed all that center's requirements before checking off their name. This system works well for me, whether I am teaching kinder or first grade. Perhaps you can adapt it to be helpful for managing your centers as well.