This is not an all inclusive guide, just how I was able to install TWRP and root my Note 3 using a Mac Pro with OSX Mavericks. If you can't find the needed files you probably shouldn't be trying this.
I tried several things to Install TWRP - Kies, ADB, Fastboot, Odin for Mac, Odin for Windows running under Virtual Box. None of these worked.
What finally worked was using: The CLI version of Heimdall v1.4.0. From terminal with openrecovery-twrp-184.108.40.206-hltetmo.img in your current directory the command to flash is:
heimdall flash --RECOVERY openrecovery-twrp-220.127.116.11-hltetmo.img
Notes: kies must be uninstalled or you will get: libusbx: error [darwin_claim_interface] USBInterfaceOpen: another process has device opened for exclusive access
ERROR: Claiming interface failed!
RECOVERY must be all CAPS or flash will fail.
Phone must be in Odin mode from powered off VOL_DOWN--HOME--POWER
Once TWRP is installed I was able to download: UPDATE-SuperSU-v1.65.zip and install it from TWRP in Recovery mode, This final step leaves you with ROOT on your phone.