I had a child with a nut/peanut allergy and the parents provided me with their extra epipen to carry everywhere with me in my park bag with my emergency medical forms. I did not have any problem at all but thankfully I never had to use the epipen.
I never allowed food to be brought in from home, read all bread item labels but I cook everything else from scratch. I don't buy that many prepackaged products but even packages of pasta and things like that I checked their labels too for any trace of nut/peanut warnings.
It was easy for me to provide a nut-free home because I don't have little children in my home anymore. If you have a large family eating peanut butter and nuts all the time the oils can be on your furniture and you may have a problem. Unless maybe you can confine your family to eating at the table so you can clean it properly and making sure they wash up as soon as they finish eating any nut products. It can be done if you are diligent.