What rights am I giving up if i were to sign a non parental custody petition over to my mother

You are still your child's biological parent. The guardian will take care of you kids until the kids turn 18.

See my Legal Guides on non-parental custody and grandparent custody for more information about the legal issues raised by your inquiry. Please keep in mind that although my Answers and Legal Guides are often informative, they are no substitute for legal advice from an attorney you have retained for consultation or representation. There are always exceptions to the general rules. To find my Legal Guides, click on my photo. On my home page click on "Contributor Level - View Contributions" or scroll down further and click on "Contribution - Legal Guides." Scroll down the list of my 32 Legal Guides and select the topics relevant to your question. If you like my answer and Legal Guides, please make sure you mark them as “helpful” or “best answer”. © Bruce Clement