I figure loosing weight as a type 1, is just the same as loosing weight as a non diabetic, the same rules apply.
You would just have to adjust I:C ratio accordingly to reflect the changes in diet.
I have lost 12kg since November by doing the following..
Working out my basic metabolic rate..
I then ensured I was running a calorie deficit of 300-500 calories a day. I also exercise daily. (30-50 minutes of cardio that keeps my heart rate above 170, every morning before breakfast)
I then left weights three evenings a week. Moderate weights 4X12 reps of the basic exercises.
I eat 5-6 small fist sized meals a day, all high in protein and very low in carb.
No bread, no pasta, no processed foods, no sweets, no sugars, no potatoes, no white rice, no fruit..
Lots of lean meat, egg whites, salad, fish, greens, nuts and seeds.
My body fat has reduced from 28% down to 15.5% which I am really happy with.
I have also found that I need less insulin, I believe that insulin can promote fat storage so I find it best to reduce carb intake and as a consequence take less insulin, enabling me to stay lean.
The keys to weight loss are setting goals, making it sustainable it shouldn't feel like torture, I don't feel hungry or fed up with this new approach as I am eating every 3 hours :)But I NEVER consume more than 2,000 calories a day.
Try opting for a lifestyle change rather than a short term approach to dieting and weight loss. Diets don't work. Long term changes in lifestyle do.
There are no magic pills, exercises, or supplements. They say a good body is made in the kitchen not in the gym, I would say it is 80% eating cleanly and 20% exercise to get you the body you want.
Eat less and move more is the most important element of weight loss.
Consistency is also hugely important, but then again so is the odd cheat day to keep you sane :)
All the best and good luck with it.