In order to qualify for a gun permit through the State of Indiana, you must be 18 years of age, and apply in the county or city in which you reside. You can't be a felon and you must be considered a proper person under IC 35-47-1-7. You must also meet the requirements of IC 35-47-2-1 as defined below.
If you would like to apply for a handgun permit, you may click on the link below to be redirected to the Indiana State Police Firearms section. Once you have filled out the application, you may pick up your paperwork at the Shelby County Sheriff Department Monday-Friday 8a-4p (excluding legal holidays) and pay the local fee. The local fee can be paid in exact change or by money order made out to the Shelby County Sheriff Department.
http://aries.in.gov/Firearms/Permit.aspx
The fee schedule is listed below.
IC 35-47-1-7"Proper person" 35-47-1-7 Sec. 7. "Proper person" means a person who: (1) does not have a conviction for resisting law enforcement under IC 35-44-3-3 within five (5) years before the person applies for a license or permit under this chapter; (2) does not have a conviction for a crime for which the person could have been sentenced for more than one (1) year; (3) does not have a conviction for a crime of domestic violence (as defined in IC 35-41-1-6.3), unless a court has restored the person's right to possess a firearm under IC 3-7-13-5; (4) is not prohibited by a court order from possessing a handgun; (5) does not have a record of being an alcohol or drug abuser as defined in this chapter; (6) does not have documented evidence which would give rise to a reasonable belief that the person has a propensity for violent or emotionally unstable conduct; (7) does not make a false statement of material fact on the person's application; (8) does not have a conviction for any crime involving an inability to safely handle a handgun; (9) does not have a conviction for violation of the provisions of this article within five (5) years of the person's application; or (10) does not have an adjudication as a delinquent child for an act that would be a felony if committed by an adult, if the person applying for a license or permit under this chapter is less than twenty-three (23) years of age.