The bees need the water so I'd put out multiple sources for them and there will be less around your chicken founts.
Multiple shallow pans filled with water and pebbles so the bees don't drown scattered far from your chickens.
That will let the bees know that's where they can get their water. You won't have nearly the problem when you put your chicken water out.
Bees are creatures of habit like chickens. Once they know they have a safe reliable place to get water, they'll go there.
It doesn't matter a whole lot because when seeking water, most bees will act the same but are the ones you're dealing with honey bees or some native pollinator?
