Some animals are sensitive or reactive to the actual sound of nail-clipping (as well as to the feeling of having their paws handled, etc.) To help with the auditory aspect, try brief, positive-reinforcement sessions with a piece of dry spaghetti. Clip off a small section of dry spaghetti with your nail clippers (being careful to direct the clipped piece away from the animal), immediately offer praise and a high-value treat, clip off another bit of spaghetti, praise and treat, etc. You'll still have to work on desensitizing the dogs to paw-handling, but minimizing the trauma associated with each aspect of the trimming process should help.
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