If you pre-ordered your Verizon Samasung Galaxy S3 today like I did then you will be happy to know that Chainfire (Root Master) has already released his CF-Root Method. Chainfire says that CF-Root is for the Root begginer. This is for those of you that would like to remain as close to stock as possible. This will be the quickest method for your first Root. CF-Root is flashable via Odin. This will be good if you intend on keeping stock Samsung firmwares and just need root for things like wireless tether, titanium backup ect. The install includes SuperSU v0.89, ClockworkMod v5.5, and CWM Manager v3.5
via XDA