How have u safely got away and kept away from abuser..?

For some time now i have been dealing with an extrememely abusive partner . To the point i listened to everytine he said he was gonna change his behavior, hes been physically and verbally violent with me and my kid. i know that i have to leave bc u can keep a fascade but for so long but i dont know where to go , i dont want to be in a shelter..i know this guy is dangerous and if i leave i have to disappear for good bc i have his kid and i feel he may try to hurt us like you hear the men doing nowadays bc the gf wants to leave for good.. i guess um having a hard time accepting im ultimately need to move out the state bc my sons father will stay always hunting me..