I half Clementine/satsuma segments, sometimes third them if they're extra big, just so the membrane isn't whole. She's been eating them fine like this for a few months. For apples, I do thin slices, which I think is what the solid starts app says. For grapes, I chop into 6 lengths ways.
I generally follow the advice on solid foods app and give her fruit the way it suggests it. Lately, she started taking whole apples and nectarines and just eating them like that. Sometimes she spits out the apple peel but is able to eat them that way pretty well, though I still prefer to give her cooked apples just to be safe. I always quarter grapes.