Samsung has Kies. There's also Airdroid (the one I like). You connect them together via wifi and pass files back and forth. Or move them to a regular computer from one and to the new tablet from there.
As for apps, as long as the same gmail address is used they'll show up under the All tab under My Apps in the Playstore. If any of them were from the Amazon App Store and don't show up in the Playstore, Amazon has those saved as well (under Cloud in the apps list). In both cases it's just a matter of installing them again.
Settings, passwords and those sorts of things are another matter. The way I handle passwords is to use Keepass and Dropbox. Keepass works for Android, Windows and linux. I store the password db in the Dropbox folder (I had tocreate and set this up using Dropsync on Android). That way updates, additions, changes etc are available in all places.
There may be a way to get settings moved, too. But I never bothered trying or looking into it.