Housekeeping Inquiry

I'm not sure Tim is the ideal person to ask about this, but I thought at least some readers of this blog might have suggestions: I am very happily living, for the first time time, in my own rented apartment. Although I try quite conscientiously to keep it neat, my efforts are often amateurish and ineffectual. In particular, I face the following conundrum. When hair, muck, and other detritus collect in the bathtub, I am likely to clean them up with a sponge, then rinse the sponge out in the sink. But what I am to do when they collect in the bathroom sink? I could clean it out with a sponge and then rinse out the sponge in the bathtub, but that would just create a vicious circle. Basically I end up washing everything down the drain, but I'm afraid it will get clogged up. Advice?