You could export the (edited) items as .obj files, import them to a Furniture Library (see download page/other for the furniture library editor), where you can rename, change properties and put them in a custom group.

However, as it is easy to copy/paste between two open SH3D windows, a simpler solution could be just to create a separate SH3D file where you copy all your modified furniture. That way you can just copy in from your "storage" file to your "new home" file when you move...

ok