Is it Right for me to change into christian?

Dump both and become an atheist. I had a similar background to you and that's what I ended up doing. I mean, you don't have just two choices. Look at all the different religions out there. Why not worship Thor or Zeus or the Mayan sun god? They're all made up. Yahweh (the Christian god) is not an exception. You just think he's true because that's how you were raised.