Though both are very similar, the left and right door handles are side-specific.
to remove the lock cylinder from its housing you need to drive out the very small spring pin that attaches the cast golden piece to the lock cylinder.
some of the vendors sell a new spring and metal pivot rod, along with new plastic buckets.
here is one offering at PIM
make sure you take multi-angle photos of each lock during the process, notably the how the little spring on the lock cylinder is attached
Larry