I work in a kitchen, and I've developed the habit of washing my hands all the time. Even if I'm just touching the cupboard handles in my own kitchen, I wash my hands before I touch the vegs again. I'm also very particular about storing and using nuts when I'm at home, always using separate tools for them and washing everything that's been "nutified", as it were.
It's probably a good habit to get in to, overall. Nut allergies can be very devious.
Speaking of allergies, while keeping your hands clean is a good idea overall and your responsibility if you handle food for a living, there is going to be a huge spike in allergies in the coming years. People are rubbing their children's hands with alcohol about every half hour, it seems. Always felt that it's a bit overdone. Soap and water will do nicely, and children don't usually cook chicken, do they?