Wheeler had some great advice. The only thing I will add is to make sure you always watch for the words 'deep' on the car next to you. Always be mindful if someone is deep staging on you, especially, if you are leaving first.
Other than that, look at my sig for a great quote someone made...
Don't worry about fender racing and don't listen to those who tell you it's the way to win. The good bracket racers focus on cutting a good light and running their number...period.
Example last week I knew my car was running a 6.47 and I dialed in a 6.50 cause the car next to me had a whopping 11.44 dial (1/8 mile)
I was worried that it being the 1/8, I wouldn't catch him till too late and figured I would get ahead of him and lift. Well the result was I did lift right as I passed him and I ran a 6.492 and broke out by .008! After I got the slip, it turns out I smoked him off the tree anyway and would have easily won with the correct 6.47 dial.
There is a little different approach when you have a break-out rule in effect but for regular bracket racing, I learned my lesson - Focus and stick to my number and not worry about the other guy at all.