Spent a good chunk of today shoving rods up drains.
The good news is that the blockage got cleared, the bad news is that it's not entirely clear to me what was causing the problem.
Apparently the pipes and general drainage around here are bad. So this might well become a semi-regular occurrence.
At least I'm prepared now - one pair of gloves and a goodly supply of drainage rods, including three varied attachments for all my blockage needs.
[Image credit: Kat N.L.M.]