Somewhat dependent on where you will be living in Mesa, but check out:
https://www.bicycleranch.com/articles/group-rides-pg178.htm
They are in Scottsdale and have 3 different groups, A, B, and C for different ride cadence. I would ask them for recommendations in Mesa. Scottsdale is a very common riding area- bit less traffic with ample bike lanes on LOTS of roads.
