What cute thing does yout pet do?
Okay, this one is a little odd, but my cat Bunyip has this thing about coming into the bathroom with me. It doesn't matter what I'm doing (laundry, shower, brushing my teeth, whatever), but she will follow me into the bathroom and complain if she is not allowed to. She'll come in, sit on the washing machine (unless I'm using it) and groom herself while I do whatever, often demanding to examine the interior of the shower or some such. On the occasions she is shunned from the bathroom and the door closed, she will sit just outside the door and wait for me. After her bathroom adventures, she'll then run off and do what ever cat thing she feels like doing.
It's very odd, but very cute.