Hi Sarah,
I believe a Type 1 can do this diet, but obviously you'd have to adjust your insulin and I'm afraid I'm very ignorant about Type 1, so I can't help you there! Maybe ask again on the Type 1 bit of the forum? Have you read Dr Richard Bernstein's
Diabetes book? That's all about low-carbing for all types, but he is a lifelong Type 1 himself, now well over 70. He also has a website, I believe - try Googling. He's a bit too extreme even for me, but his method works.
I would think a busy mum can do my diet - it will just take a bit of organising. There's no problem cooking meat, fish and casseroles for the family that you can eat too, and you can cook carbs eg potatoes, pasta etc for them - but you have to be very strong-willed to keep off those carbs yourself. Easy for me - I live alone, and I have nothing in the house that I can't eat.
I have an omelette for breakfast these days, but you can eat anything you're allowed at any time of day - I have even been known to eat chicken salad at 07:30

- delicious! If you're always rushed in the morning, prepare something the night before - cold meat, chunks of cheese, cherry toms, radishes, whatever - and grab a bit every time you pass. Or you could have plain yoghurt with a few berries, nuts and seeds.
Similarly with lunch - pack up a boxful of allowed food the night before, to take with you. Don't forget to get it out of the fridge!
If you can't eat many of the listed veg you're going to be pretty restricted in what you eat, and more importantly you'll miss out on some of your essential vitamins and minerals. Also your roughage/fibre is in the veg, so you may end up very constipated. The only thing you can do is trawl through a carb-counter book and substitute the lowest-carb veg you can find for the ones you can't eat. You may end up eating a few more carbs than the diet recommends, but it will still work.
For the constipation - eat rhubarb with live yoghurt regularly, try taking flax-seed oil capsule, and try stirring oat or wheat bran into things such as yoghurt or casseroles.
Give it a try for 2 weeks and see what happens. I used to hate lettuce - now I eat it at least 7 times a week, and you know what? I enjoy it!

All fresh and juicy and covered with mayonnaise
Good luck with it.
Viv

. . . but what do I know?
Every headache isn't a brain tumour!
It's more about what you do tomorrow than what you did yesterday.
Type 2 since April 2010, 3 x 500g Metformin, well controlled by low-carb.