Get a new job FIRST. Then once you have the start date of say, May 1st. Then give two weeks notice in writing.
Dear Jane and Dave,
Although it has been lovely caring for Larlo and Larla, I have made the decision to move on. My last day will be two weeks from now, April 32nd. According to my records I have accrued six unused vacation days, so will look forward to those being paid out, along with my final check on April 32nd.
Thank you for everything,
Nanny Jones