do you think it's a good idea to have your keys with a neighbor

Yes, I think it can be a good idea. It is helpful in emergencies, but you must trust your neighbor.

Well, to be honest, I don't think it's a good idea to leave your keys with a neighbor because who knows if there are any cameras or security guards in your house, or what your neighbor might do. In my opinion, it's much better to bring my keys with me.