Ideally, a kitchen should have separate sinks and draining boards as described above. However, if there is only one sink then it should be treated as treif (since both meat and milk leftovers may be poured into it) and dishes should not be put directly inside. Instead, use separate washing-up bowls preferably on special sink mats. Remember to keep a separate cloth for wiping-out the sink.
If there is only one draining-board then make it milky and use a portable non-porous plastic draining board for meat dishes. In the same way, work surfaces can be kept milky and covered with plastic or tin foil when meat meals are being prepared.