Activity sync on Apple watch

My husband and I both have an Apple watch and iPhones connected to the same Apple ID. Our individual activity is showing up on each other's activity app. Therefore, I'm getting some of his move calories, exercise minutes, and total steps. How do we separate these so that we have individualized data for each user in their respective apps/iPhones? Also, how do I change my name on my watch. For some reason, my name comes across as my daughter's name.