For young babies, you can use mild essential oils that are safe for babies, such as lavender, Roman chamomile, wild orange, etc., and reduce the concentration of aromatherapy appropriately.
Small animals are also our family members, and we will face the same problems as us, such as respiratory problems or emotional problems. For small animals, incense is also safe and beneficial.
But there are also some small animals, such as cats, who do not like the aroma of one or more essential oils, because some small animals are relatively sensitive to smell, and animals have individual differences like humans. So you can try several kinds of essential oils to find the taste that small animals like, starting with a small amount of aromatherapy.
I don't want the concentration of essential oils in the room to be too high. In addition to reducing the amount of essential oils, you can also open the window for ventilation during aromatherapy. Incense does not need a closed space. Under the condition of ventilation, a burst of aroma hits, both fresh air and pleasant fragrance. Isn't life beautiful?