I have a no food rule. I remind parents of the rule and either send it with them or I "hold on to it" (throw in the garbage). I had a severe peanut allergy so this was super easy to reinforce. This child has left for kindergarten but the rule still stands.
Re: toys- I don't allow outside toys either. The kids can have a blanket and a stuffed animal for nap time but those are inaccessible until nap. I have started doing a "show and tell" with Wed morning circle time and this is going really well. This allows the kids to bring a a toy and they share it with everyone then we put them away. I have different themes for show and tell as well so this week the kids brought in their favourite baby, last week they brought in a game they play with their family etc. The kids know that they need to share their toy or it goes away and I am with them facilitating this. Helps them learn to share, the parents dig it and the kids look forward every week.