Thinking of opening a new account to manage finances better. I have an IDFC salary account—should I go with HDFC or ICICI for the new one?

That's a new one, may i ask why?

Every private bank if get bankrupt, you will get 5 lack only

Well could use one as for savings or stashing for a particular purpose goal, just away from the main account where you don't buy stuff out of impulse spending