Process for Changing Mexican State of Automobile Registration

We live in both Jalisco and Chiapas States  and own two cars purchased in Guadalajara and, consequently, registered in Jalisco.  Even though we legally reside in both Jalisco and Chiapas and are, thus not required at this time to change our registation to Chiapas, I wonder if any of you  have initiated a change in state registration in the recent past  and, if so, what the process entailed and how much that change cost in fees and hassles.