If Salary is more than 50K ask them to give Millennia LTF.
If salary is more than 1 Lakh ask for Regalia LTF.
Check your spending and take Millennia or Regalia LTF.
as
@TechnoFino said, You need to ask.
Ask them to give LTF card or tell them I am planning to transfer my Salary account to ICICI or Axis.
There is another thing
@TechnoFino said, Bank is not our relatives, So you are free to change accounts as per your need.