We have more of a problem with my own hair than rat hair. Even though our rats pass through the kitchen (to get to the bathroom which we find a great place to get them used to us away from the cage) their hair doesn't seem to get onto things. Occasionally I get little white hairs on my clothes, but that's only very occasional.

Fortunately my hair has only ever ended up in my boyfriend's food and no-one else's! But again, that's probably more to do with the fact that I try to steer clear of cooking for anyone but the two of us.