I'm comfortable babysitting for children of any age, from a few months to toddlers, to elementary school age. Additionally, I have experience tutoring both children and teenagers - I am an English major and can help your kids write those difficult essays.
In my current tutoring job, I just finished watching an anime with the 13-year-old, and am now having him write an essay on the motivations of the main character. I believe kids are more likely to engage when the topic is something interesting to them, and I don't mind jumping into that interest with them. I have Netfix and Hulu, plenty of books and craft materials, and I don't mind taking kids out for an occasional treat. I'm a total Disney nerd, so if kids want to watch Ducktales one afternoon, you won't hear a complaint from me!
As for petsitting, my last job was for NINE dogs (and a cat!); two outside, seven inside. They were a fun bunch! I stayed at the family's home for an entire week - my house couldn't handle that many!