*Put the dishrack over the sink*

Among those who have no dishwasher, it is common to put a sloping drainboard next to the sink and put the dishrack on that. That takes up counter space, and also, these days, it seems to be impossible to get a metal drainboard, and the plastic ones eventually sag & puddle. I found it easy to mount the dishrack over the sink, by putting two hooks, next to the wall, on the cabinet overhead, and hanging two loops of cord on them, with a couple of turns around appropriate parts of the dishrack (front & back, so they make triangles). The dishrack then drains right into the sink. Also, you can mount hooks made of paperclips on the bottom & sides of it, for the various scrubbers etc., so that they too will drain into the sink.