Dish soap will NOT kill spider mites. If it did, why would people pay upwards of $30 for a small bottle of floramite? Why would manufacturers make miticide?
Insecticidal soaps can be used, however their effectiveness is limited. there isn't much you can do about them with household items. You can try a tobacco juice and pepper spray, but I don't consider that a household item either, especially for a non-smoker.
When they start building webs and laying eggs in your bud, go spend $6 at Lowes or Walmart for a spray bottle of Fungicide 3
Good luck