Bringing a new pet into a home with existing pets can be a challenge, but with the right approach it can be done smoothly. Here are some steps that can help:

Steps to introduction between pets
Advance preparation:

Prepare the house for the new pet, and make sure it has a pleasant and safe place.
Controlled introduction:

Initial acquaintance should be made gradually. You can keep the new pet in a cage or in a separate room so that the animals can smell each other without meeting directly.
Changing scents:

Allow the animals to smell each other's toys or blanket before the direct meeting. This can help them get used to each other's smell.

Short meetings:

After a few days, allow short and controlled meetings. Meetings should be kept short at first, and gradually extend the time when they feel more comfortable.
Work with positive reinforcement:

Use positive reinforcement (like food treats) to reinforce good behavior during meetings. This can help each animal associate the other's presence with positive experiences.
Be patient:

The familiarization process may take time. Be patient and be careful not to force the animals to meet if they are not ready.
Buying limits:

Keep clear boundaries for each animal. If there is a dominant pet, care must be taken that it does not otherwise feel threatened or excluded

Make sure you have positive experiences:

After the animals feel comfortable with each other, let them tackle activities together like roaming together, playing or even feeding.
Pay attention to the signs:

Be sure to follow the behavior of the animals. If one of them shows signs of stress or aggression, you should stop the meeting and wait for further acquaintance.
Consultation with a professional:

If there is difficulty in familiarization, consider consulting a professional trainer or veterinarian who can offer additional tips.
Using these methods, you can make the process easier and ensure that all the pets in the house feel comfortable and safe.