Patience is the real key to success
Cats are territorial by nature and take time to accept a new member of the household, so working through each stage fully and watching how the cats respond calls for real patience.
Keep an eye on unusual vocalizations too
If you're curious about behavior changes caused by introduction-related stress, it's worth also reading up on why cats yowl loudly, since vocal changes are a common early stress signal.
Frequently Asked Questions
How long does introducing cats usually take?
It varies with personality and past experience -- anywhere from a few weeks to a few months is normal. Match the pace to each cat's reactions rather than rushing it.
Does hissing mean the introduction has failed?
Hissing is a common warning signal during introductions and doesn't mean failure on its own. If it keeps happening repeatedly, though, don't push forward -- go back to an earlier stage and slow things down.