There are a few ways to try and revitalise dirty sneakers, but the secret to keeping white sneakers white is regular cleanings and a typical household cleaner you already have.
Photo by Spera.
If you're determined to keep your fancy white shoes as bright and clean as possible, Jolie Kerr at Racked suggests you reach for a typical all-purpose cleaner. Use paper towels, a sponge, and a toothbrush to really get in there and remove all the dirt and scuffs. If you have a really stubborn stain, Kerr recommends using a Magic Eraser.
You probably already have this stuff around the house, so that's a plus, but the downside is that you have to clean your shoes constantly. Try to clean your shoes once every few wears, or at least once a week, and you'll be able to keep them from getting dirty and yellowing. And don't forget the white laces! Toss them in a mesh laundry bag, give them a wash, and let them air dry so they don't shrink.