@Alec Khlebopros large PM companies will do a application and credit check before showing properties, but they have many properties to chose from. If you are only offering one property and ask them to pay $30-50 just for the privilege of looking at the property, most people will say not. Worse, you may have some demanding money back if you refuse to show them the property. I only give someone an application link after they viewed the property.
Prescreening needs to happen in your listing and then a second time before doing a showing. You want to convey your standards to them, so people self screen. Here is an idea of what that looks like:
Monthly income of 3X rent
600+ credit
2 landlord references
Applicant pays for credit and background report
Other qualification requirements apply (put this on to make it clear that this is not a complete list of requirements)
You also want to verify move-in date during screening. If the tenant is looking to move in three months, you don't want to waste time showing the property.
Put the requirements in your listing and then confirm each item before showing.