A.P.
I found out about my penicillin allergy when I was seven. Mine wasn't the hives most others are talking about. It was severe vomiting. None of my kids are allergic to it, and if they are prescribed anything from the -cillin family I have someone else administer it. In college when studying microbiology, I wore a mask and gloves when we got to the spores that produces penicillin. After that day, the room was disinfected from top to bottom so I wouldn't have to worry about remaining spores.
I never had a problem in daycare. If I had any medication to bring in with me they kept it in a separate refrigerator. The teachers were very careful to wash their hands after giving someone penicillin. And this was before the abundance of allergies that are out there today. She should be fine at school and daycare. They are used to dealing with any type of allergy now.
Other allergies that I have to look out for are painkillers. I am also allergic to percocet and codeine, which takes most painkillers out of option for me if I need them.
If you have any more specific questions, please message me. I'd be glad to give you any other info ai may have.