what kind of shower handle do i need for this type of rough valve? I don't know name of old handle
That's definitely a Moen. It has a "pull out dial" handle or (more specifically) Moen 96797  Chateau One-Handle Tub and Shower Knob; and I think the cartridge is 1225B.



Here's a video about replacing the cartridge (it shows exactly the save valve) and in the beginning you can see the tear drop shaped handle.