Landlord dilemma - prioritizing applications

[Mike Pederson]

Hey experienced landlords, I am looking for some advice.  I just listed my new property for rent and have gotten an overwhelming response, which is great.  I thought I was already pricing at top of market.  

I started telling people that I would consider applications in the order they were received.  Based on the number of of applications I am expecting to receive at the open house Saturday, I am questioning whether "first in/first consider" is the correct way to go.  I have now e-mailed the application to several people who I believe will come prepared with completed application, application fee, and even payroll stub copies.  

Ethically, am I now obligated to stand by "first in/first consider" or is there a way I can re-position to have more flexibility on which application I consider first.  I also do not want to open myself up to any issues on discrimination etc.  

Advice would be greatly appreciated.