Thank you, everyone, for helping me with home remedies for Teddy's fungal problem. I think the safest I can find so far is Apple Cider Vinegar, so I will try this first.
Right now, Teddy and Xiao Li has fever, due to the vaccination, and are both asleep. Earlier on, I managed to dab some diluted ACV onto Teddy's spots. He didn't like it much!
I'm told garlic works as well. Just rub it onto the spots.
If you have any time-tested and proven method specifically for fungus, please do share.
The vet did tell me to be very careful with home remedies for humans. Sometimes what works for humans may not work on animals, or may prove to be detrimental to their health. For eg, sulphur is highly toxic, but some anti-fungal creams contain sulphur. And the cat might lick the cream.