Moving to NY I have two kids on ssi, but we are not working will there ssi up when we move

No one can say without knowing where you are moving FROM. Here's how it works - Understanding Supplemental Security Income (SSI)-- SSI Benefits

SSI is nationwide BUT some States pay in addition to Federal benefits. Some do not. You would have to look up where you are and where you are going (NY) in order to get the exact answer.