Moving Document with Versions to Another Site Collection

Good morning all! Hoping you can point me in the right direction.

Currently, I have a location under one Site Collection that I would like to move under another one. At first I thought it would be real simple since it is a small site with only six libraries. However, those libraries have versioning enabled and I need to be able to copy the versions over as well. I thought I could just move the documents using Explorer View, but that does not bring the versions like it does if I was moving a document within the same site collection.

What would you all recommend as the best approach to moving this small, simple site to a new site collection?

Toni Marie