We're in a similar transition here. It certainly isn't easy! My sons naturopath has put him (so all of us) on a basically a diabetic diet. We were already limiting our sugar intake too so doing even more is a struggle (especially for my husband). There's lots of stuff my son can't have either because his body doesn't like it (such as quinoa, eggs whites or tofu) or because a low glycemic diet doesn't allow it (such as some fruits or white bread, etc.). So that in itself has made it difficult. One thing I did at first was I bought stevia packets to help with the transition somewhat. That stuff can sometimes be TOO sweet, so the kids are happy with it. I've also stopped buying all processed foods, period. I just make what we need as we need it in small batches. The first few days were a mishmash because I still didn't know anything but once I decided on our menu, we went cold turkey. My son did complain but I simply told him that some foods are making his body sad and that we had to eat different stuff to make it happy. I got rid of everything he couldn't have so I wouldn't be tempted to give in.
I did a ton of research online and I've bought several diabetic cookbooks. Reading those books has been very revealing and most of the recipes I've tried have actually been pretty good. Amazon has lots of them; I just typed in children & diabetic in the search terms. Of course your daughter isn't diabetic, but the very nature of these recipes will help you reduce not only sugar as we think of it but in other areas as well such as the fruit you mentioned. You could try the Whole Foods Diabetic Cookbook by Michael Clark, You Can Eat That!: Awesome Food for Kids with Diabetes by Robyn Webb, Healthy Calendar Diabetic Cooking: A Full Year of Simple, Menus and Easy Recipes by Lara Rondinelli and The Diabetic Cookbook by Sarah Banbery.
The last one I mentioned is actually the first one I bought and it was really helpful. There was a good albeit small intro, and the recipes were good. I especially liked that there was a small example of the Glycemic Index (that really got me thinking & digging more). There are only around 38 recipes, but it's a smattering from breakfast to desserts and all are good. It's not a children's cookbook, but the kiddos didn't complain much. But then, my kids eat a lot of stuff that most children won't. When I was first looking at children's diabetic cookbooks, I was amazed at how many bad reviews were on books simply because the reviewer didn't think the child would actually eat the foods. One woman specifically mentioned her beef with a book was because it used tomatoes too much and that in her experience, no child liked tomatoes. Hah! Obviously she's never met my children. They consider tomatoes special treats. :D My father took all the grandchildren to the store a couple of years ago (so 5 kids under 7) and made the mistake of telling them they could get a treat. My nephew runs screeching to the candy aisle while my kiddos run the other way for the produce section. My poor father didn't know which child to follow first! :D He finally caught up to my horde collecting tomatoes & apples; my youngest (she was 3) had even started eating her tomato.
When I was first looking into this too, and was completely in the dark these sites helped somewhat.
http://www.diabetes-blood-sugar-solutions.com/lowglycemic...
http://www.diabetic-lifestyle.com/forkids.htm
http://www.childrenwithdiabetes.com/recipes/
http://www.thelaboroflove.com/house/kitchen/mm/diabetic.html
Oh, and I almost forgot, there was one other book I got, The pH Miracle for Diabetes by Robert Young. This is actually a specific diet plan but that's not why I bought it. The second half is recipes that do look rather tasty although I have no plan on following the program. I thought you may be interested in it because of the first half. It talked about balance in the body, different foods, supplements, etc. It was a lot of good info and while there was a lot of stuff pertaining strictly to diabetes the rest I was able to glean was quite helpful and helped me understand what was going on with my sons system as well as how the supplements his naturopath was recommending actually helped him.
Anyway, I hope this helps or at least gets you on the track you need. Good luck!