Not only do you have to do this, you CAN do this. I don't have any experience with DTs, but I'm thinking you should at least make a phone call to a doctor or visit a local Urgent Care for medical advice if you don't have time for a supervised detox as doggonecarl suggested.
Stay Strong. Make a list of your top three reasons to be sober and recite/read them often, clear your home of all booze, reach out to a close friend or family member who can be with you through the initial days of detox.
The new job is an all new beginning, the opportunity to start fresh with a clean slate. The brightest days ahead can only be seen sober.