1) My suggestion is that you get a professional on board for a few days to completely review and improve your entire maintenance process. Managing a TB sized database properly is almost certainly not optimal if you don't have some serious training and experience doing it already. Get a mentor to a) get things done right and b) teach you how/why it is so. Win-Win.

2) if you aren't using it, I HIGHLY recommend ola.hallengren.com's AWESOME, FREE and FULLY DOCUMENTED maintenance suite