I had similar situation like you before with 2 kids. Normally no finished contract would consider your offer. Most of them do not want with another maid. I tried for more than 10 interviews before. You may consider for those who break contract with good reference. However, it is still difficult.
thanks to all the advices. I may have a referral for interview in these few days. at the same time I am also looking for maids in agency.
wish me good luck!!