"Keep it dry for 24 hours," Cindy said, "then you can shower and wash your foot, but no baths -- don't soak it. Leave the steri-strips on until they come off by themselves."
So today I got my shower (ah, to feel clean!), and all but two of the steri-strips came off, mostly because the skin they're attached to is sloughing off. This always happens when my toe swells badly after surgery; it seems like it just blows the top layer of the epidermis off.
The toe looks good.