You can find psyducks at Seafoam Island
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for me the best Pokemon you can catch with the good rod is carnavina.the rest are magicarp,goldeen and psyduck(psyduck is found in the safari zone)
In the dark cave or victory road.
Hypno's Naptime
saffrom city grass areas
I think I used the Super Rod to catch him, and you can get him in Red and Blue on Route 24 & 25, in Cerulean City, Seafoam Island or the Safari Zone. In Yellow, you have to use Surf on Route 6 to catch one.