I finally accumulated enough new work to justify reserving a kiln. I candled it overnight at a low temperature and then turned it up every two hours until it was at its highest setting. I wasn't entirely sure I had done the whole process correctly and wasn't sure what I was going to find when I opened the kiln 24 hours later.
Nothing exploded and there were no unpleasant surprises. I actually only had four large pieces and a number of smaller objects to fire. The rest is other people's work, which also happily survived the firing. Disclaimer: the cross and the heart are not my work.