I just need to know the easiest way to sync my Samsung Tab 3 with my Samsung laptop.
Download and install Kies.It's very simple way to sync your tablet to laptop.
Have a look at the illustrative tutorial in the link below -
Or the PDF guide -
Have you tried the Samsung Kies software found here: http://www.samsung.com/us/kies/? You would download the software to the computer, install it, then connect the tablet to the computer via USB cable. Open KIES, then you can backup your tablet, edit and view contacts, sync pictures, videos, and music, etc. There is also Kies Air: https://play.google.com/store/apps/details?id=com.samsung.swift.app.kiesair&hl=en, which allows you to browse the contents of your tablet through an internet browser on your computer via Wi-Fi.