I remember left and right by politics (warning: these are left-slanted :p )
Right has the symbol for mouth in it because the right is all talk, no action. Left has the symbol for work in it because it represents the worker.
I remember hidari as someone saying Hilary wth a thick Japanese accent. Hilary Clinton being a left-leaning politician.
I remember migi because it looks like MG which sounds like a machine gun to me, and the right loves guns where I live.
I never have trouble with these directions now :)