Alternatively, you can use special temporary tattoo remover wipes like Limisan. Those wipes contain silicons which ensure easy removal of the temporary tattoo. Alternatively, you can pour a small amount of rubbing alcohol onto a cotton ball or piece of paper towel. Be aware that rubbing alcohol may burn a bit. If you do not have baby oil, you can use olive oil on your tattoo as well.
You can use a paper towel in place of a washcloth.