This all depends on how you introduce them. It isn't clear if you are bringing home the chihuahua to the cats, or visa versa. Either way, it is up to you to get your pet ready for the arrival of the new family member.
You need to be a packleader, so both the dogs and cats know who's the authority figure. If you don't do that, you could maybe have problems.
Introduce the new pet slowly, and let them both have there space and let them sniff and get to know each other slowly, in their own time.
Above all, DON'T be apprehensive or nervous when you bring home the new pet. Your pets sense your energy, and will react to how you are feeling. Bring the new pet in like you are bringing in groceries. Don't make a big deal in front of your other pet. If you are too excited, they will draw that energy, and jealousy can become a factor. Just stay calm, but assertive, and all should go well.
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