Lauren, I’m pretty addicted to sugar, too. Just use my screen name and see how many times I mention sweet tea. I love to bake brownies, cookies of any sort, I have my “go to” baked goods at the grocery store that were my emotional buddies. But most of all, my glass of sweet tea kept me company ALL day long. I still want it, but I no longer crave it or think about it, worry about it, etc. I figure, in time, I’ll even stop wanting it.
For me, the two things I HAD to do to stick to this was 1) find something as a treat to myself (to replace my beloved sugar) that I normally wouldn’t eat in my “healthy” CICO mindset, and 2) stay OFF the scale for long periods of time. Otherwise, it’s too easy to tell myself it’s not working or not working fast enough, etc. I simply had to commit to this for a certain period of time (until March 1st) and then I’ll re-evaluate that commitment at that time. So I didn’t say good-bye to sweets forever…for now, it’s just 3 months. 
As for the treat…I really like bacon. It’s always been a forbidden indulgence because, you know, low calorie, low fat diets. So I gave myself permission to eat as much bacon as I wanted and it helped. Each time I was craving tea, I’d get a 1/2 slice of bacon to munch. Now, bacon is “meh”…I still like it, but it got me through the rough spots so I’m eating much less of it. So find something YOU like that you wouldn’t normally eat due to the fat, like avocados, full fat dressings, cheese…just something to replace those sugars in the first couple of weeks.