I would say presence... make sure you talk to them a little morning and evening minimum.
I know Cayugas are a different breed and they are a ton more sociable from the sounds of it, but mine are still a little skittish. I have trained them to 'Sit' once I can catch one and pick them up, but they still scoot pretty good up to that point. Patience and love should do them some good... oh, and dandelions. Our ducks and chickens will riot when we poke dandelion greens through the fence or drop them in the water dish. hunt through your yard and pick a handful of greens, then feed them to the ducklings... Dandelions are the great attractor in our yard.
We use a 3 inch deep 9x13 pan for our dish... only one issue with that so far, and that is the fact that the moment we freshen the water all six of our ducks think it is bath time. if it is big enough for them to get in, but only half full it might be tempting for the to scrabble in and take a wash.