My caution would be that a rabbit hutch outside with baby chicks in it would be an invitation for raccoons to reach in and grab. You could secure 1/4" or 1/2" hardware cloth over any openings.
You haven't SEEN raccoons in your yard.
They have huge territories and don't sleep in the same place every night. They might visit one night and not come back for a week. Do you live anywhere in one of the green areas on the following map? That is raccoon territory. They live everywhere in North America except at high elevation or in the desert.