What's my penalty if this is my 2nd DUI, my license is suspended and my children were in the car and I'm also on probation for my 1st DUI?

You could be facing mandatory jail time. You should contact a lawyer right away.

You are going to do some weekends or work release and the SB38 alcohol program.

You need counsel, and the sooner the better. The state can seek to revoke your first probation, pursue the new DUI as a felony, pursue a driving while under suspension charge, and if so inclined the state can file a child endangerment charge. And there is the potential for children's services to open a deprived action and seek to remove the children from the home.