If you live on the equator, when you flush the toilet which way does the water rotate going down the toilet?

First, the whole premise of your question is wrong. The Coriolis force is insignificant on the sizes and time scales of toilets and bath tubs. How the water goes down the toilet drain depends mostly on how the toilet is designed, so if you moved across the equator and brought your favorite toilet with you, it would flush the same way. On large enough scales you start to see Coriolis effects, and for things like the trade winds, you see a nice smooth transition from north of the equator to south of the equator. Although it's unlikely that a hurricane will cross the equator, there are no doubt times when waterspouts have crossed the equator, and when they did you can rest ured that they just kept spinning the same way--things don't necessarily have to be in geostrophic balance, they can be in cyclostrophic balance.