I taught at a local flight school during the first year. However, I requested to focus on the ground schools, so pay was by the clock, not the Hobbs meter and I didn't have to worry about timing out. Overall, I found that teaching the groundschools paid more than sitting in the right seat of a 172 and therefore functioned better as a part time job. All of the other CFIs were more than willing to give you the ground stuff too. Since my flight school conducted formalized groundschools on all of the various licenses and ratings, I could pick and choose what would fit with my schedule. There were 4 months as I recall now where I made more teaching than I did in the right seat at the regional. The other months were about equal, so I always managed to at least "double" my income (2*0=0!). Finally, the schools generally like having you there, cause they tell potential students something like "attend our private pilot groundschool, taught by an airline pilot" or the like.
All the best!