A little help to get a new place for my 2 kids

I am a single mother to 2 wonderful children. I work 2 jobs to provide for their needs. My eldest is a junior in Mamaroneck High School. She attended the school district since her Pre-K years, she is doing very well taking AP and Honors classes and is loved by her long time friends and teachers. This year we found out that the apartment we are renting will be up for sale and our lease ends at the end of this year. I have been looking and applying for rentals but I realized for me to keep Alaina in the same school district for the next year and a half, it would take so much money upfront, as I do have a less than desirable credit (student loans, and no other type of credit on my name).  I do have some money saved up, but unfortunately it isn't enough to be able to secure  an apartment as most requires more than just a month security and first month's rent plus other fees.  What I am asking for is just a little help, as to not uproot and move my daughter from the town we always called home, for her to be able to finish her last 2 years in high school in the district, and graduate with the friends she grew up with.  We would be eternally grateful for any help you could extend including shares and prayers. Thank you!