Take them back outside for the winter.
Gourds have dried naturally outdoors throughout time, and you really don't want all that mold in the house. The mold is a natural process, so don't give up on them. Leave them anywhere they won't get stepped on or blown away, they'll dry just fine. However, if they become soft and mushy and leaky, they are probably rotting and should be thrown away.

Jan

If you plan on saving seeds from some of your favorite gourds, keep those from freezing or the seeds will not be any good. Lois