We have three kids - two boys (8 and 6 years old) and a girl (3 years old). The boys love all kinds of games. The girl loves playing dress up and typical "little girl" things. They all enjoy being read to.
Standard look-after-the-kids stuff. Make sure they are safe and entertained. If sitting during the day, the sitter may have to take a kid to a lesson. If during the night, the sitter will have to feed them (we will have a meal already prepared) and get them changed and brushed for bed.
We are in the Financial District in a doorman building.