how to ask him to sign off rights

A month ago me and my ex have broken up. after we broke up i had found out i was pregnant and when i told him , he told me to “terminate while there was no heartbeat”. anybody that knows me, knows that was never an option and was never my first thought when i found out.

lately every time i update him with an appointment or conversing about him paying child support he has been nothing but nasty towards me. and his mother has also been really nasty to me and my family as well. there are many reasons why i would feel better about him signing off on all parental rights (even though it’ll hurt me in the end when my child asks where “daddy” is).

his mother has a new boyfriend every month and he still lives with her. once she meets these guys she lives with them immediately. not only does she depend on her son to take care of her, she depends on her boyfriend too. every month they move (literally) and it’s always a shadier person every time. i personally do not feel safe with my child going to a different mans house. besides his mother, he’s got a very short temper. any noise that bothers him playing his games he screams at the top of his lungs. and he’s up playing ALLLLL night long.

how would i ask him to sign off on all rights? every time i message him i make sure i’m always kind and level headed with him, but he seems to make rude remarks about my baby. any advice would help greatly. ☹️