You can meditate by concentrating on the purring of cats. I've found that it has numerous health and mental benefits. It can even serve as a complement to the treatment of mental illness. It can also cleanse their aura, provide basic protection and even ask for the blessing of a deity who considers cats to be sacred animals, such as Bastet
My cats also like to be close to me when I practice yoga or do a ritual for a specific deity. I've gotten used to their head-butts and the soothing sound of their purrs.