If you want to move contents of SharePoint Document Library or List with intact metadata then use Content and Structure that you can find under Site Administration page of your site. URL is http://YOURDOMAIN/sites/_layouts/settings.aspx.
Before using either copy or move actions make sure you create a destination library/list/folder names in your the destination site:
Microsoft has pushed out one more “Sneaky” release in Office 365 relating to SharePoint Online document library experiences. If you have “First Release” tenant, you would start noticing new banner on SharePoint online document library page stating – “Check out new document library look!”. I call this “Sneaky” release. Even though this is a huge change […]
via Modernizing SharePoint? – My thoughts on SharePoint Online Document Library Experience Updates — Office 365 and SharePoint with Nik Patel