None. Tea mings, and hot drinks in general hurt.
Partner drinks massive quantities of tea all day, though will generally compromise on hot chocolate before bed for not-smelling-of-tea purposes.
I've never understood the teabags-in-the-sink thing. Unless you've got a waste disposal thinger that'll get rid of them, that's allowed. Otherwise, they go in the bin. Yes, this causes the bin contents to remain perpetually damp and festery (see above re: tea consumption), but it's better than the kitchen smelling of tea the whole time.