If you have a good spray silicon lubricant I would spray the inner pivot points.
for the lock cylinders themselves, you should only use powdered graphite or a lock-specific spray lubricant. Do a web search for a product called Houdini, not readily available but a lot of us have adopted it as a lock lubricant.
DO NOT spray WD-40 in your lock cylinders or on the pivot points. WD-40 is a petroleum product that will lubricate, but at the same time it will latch onto and retain every speck of dust that comes near it.
Larry