I always put my bleeding fabric into the washing machine along with a box of baking soda. Fill the machine with warm water and agitate for a minute or so to dissolve the baking soda. Turn the washing machine off and let is soak overnight and then in the morning let it go through the regular cycle without detergent. It will remove the "pink" from your white stripes and also set the red in the rest of your fabric. I was taught this by a woman who owned a fabric store and I have used it for years with excellent results.