My suggestion is to get to know your neighbor moms really well...and do it quickly. Chances are, if they are friendly and become fast friends with you,...they would be willing to step-up to the challenge to help you out in Jan.
Give them a holiday cookie plate, breads, etc...whatever it takes to break the ice and start off on the right foot. Even offer to take their kids for an afternoon for a play date, so that they can perhaps get some shopping done, see a movie, etc. That way, when mid January comes and you ask them for a favor, they will be more inclinded to help you out.
Good luck,..and CONGRATS!!!