I have lived with cats and dogs since I was born, one of my first pictures is of me and the dog in the dog basket!
Dogs and cats feel safe with me, and chilled. I'm not overbearing, just attentive to their needs, I love Jackson Galaxy's "My Cat from Hell" and Cesar Millan's "Dog Whisperer", from which I have deepened my understanding of dogs, as well as cats.
See in the pictures I took of acquaintances Lola the dog and Harry the cat, we had just met on their territory and they were quite relaxed!
I do not have pets of my own at present, as it's just been too heartbreaking for me when they passed, but I really miss our four-legged friends' company, so instead I will help you when you need someone to take care of your friend for a day or longer.
I'm awake quite late and work from home so times are fairly flexible to suit your needs for emergency bookings. I can take care of your cat too, although it is better for cats to stay in their territory, so it's probably only for emergencies.
I have several kinds of blankets available, and a big room at street level where I usually work. Your friend can hang out with me and choose where to have a lie in. The picture shows half the room.
There is a big park close by (big enough that we don't have to hang around other dogs if this is preferable), and a few quiet streets.