First Time Landlord - Multiple requests to rent

[Jimmy Lee]

I am a first time landlord and managing my own property.  I have my property listed on websites and have received applications (with background/credit checks), along with many requests to view the property. The property is going to rent ASAP.  The area is a difficult place to rent in.  We experienced this issue when we moved there three years ago.  

How do you all determine who to rent to?  Do you use credit history? Payment history?

Example:

Tenant 1 -

Applied first 

Has fair credit

No background issues

Some history of late payment.

Tenant 2 -

Applied second

Has Great credit

No background issues

No history of late payment.

Am I obligated to showing the house first to one tenant over the other?

Thank you all!