Nuts are good - I eat loads. Low in carbs and low GI, but beware cashews. Not actually nuts at all. and high carb/high GI
I eat a little potato, but how you cook it and type of poptato is important. The small new potatos boiled (not over-boiled) are best, but only a couple! Old poptatos are too starchy, although if you roast them the fat helps to slow the absorption and thus conversion to sugars in the blood.
You have to be wary of fruit. It all has carbs in the way of fructose. The berries are best. Strawberries, raspberries, blackberries etc. Most of us find bananas are too high in carbs, particularly the very ripe ones. I have berries, or an apple a day, and a small satsuma.
With vegetables in general, parsnips are highish in carbs, and overall those that grow above ground are better than those that grow beneath the ground.
Dairy is good; look at the carb content on yoghurt. Some are higher than others.
Some can tolerate porridge for breakfast, or some cereal. Others have very low carb breakfasts with omelettes etc.
Best thing with all this is to test 2 hours after eating, and if your B G is too high, youknow you need to cut out or cut down on that carb content.
Good luck!