An old dog can learn new tricks. My daughter taught me this easy was to get the orange without the pith. Of course when checking online for the proper term for the pith (technically called the pericarp) I learned, "Although the flavonoids are abundant within the fruit itself, they are found in highest concentration in the peel -- which means that unless you're cooking with citrus peel or zest, the best way to get the full antioxidant punch is to eat a bit of the tart, white flesh on the inside of the fruit's peel."
Be that as it may, if you want a nice fruit salad without stringy white pith, follow the steps above.