Can I sign my rights over temporarily to my child's father because his finances are better?

I want to attend school FT. My child's father is in the National Guard and has a better financial status than I. We have agreed upon this and he acknowledges the child and signed the birth certificate also. There are no disputes and we are not married. We have been living together since she was born. My financial situation is not good because I have been a stay at home mom during the deployments and constant Active duty time. He is now in a nondeployable unit so he can be at home without having to leave. Would we have to go to court on this or can we work this out and get a probate judge to sign off on our verbal and written, notarized agreements?