How to get Name Alias and some related doubts

I'm not sure whether this is the right place to ask. But then, I don't know where to ask. I hope you guys will help. I don't want to change my existing name. But want two alternative names which is legally acceptable everywhere. I don't want this new name to be used in any of my certificates. I don't want to write like "myName alias newName". I just want to use all my names as "myOldName.intials" or "myName1.intials" or "newName2.initials" alternatively whereever needed. I m a christian and I want one of my new name to feel like Muslim name and other like Hindu name. Don't want to change religion. Is it possible? Can I have alias signatures associated with each name? My wife's name is "wifeName.myOldName". Once my new alias names is approved, can she use her name with my changed name without doing the procedures for name change? Can you please share the steps to do this? And would like to know how much does this cost approximately? Does this needs to be publish in newspapers too?