How to go about screening a potential tenant for my rental property?

You can get all of your information by searching for Nevada landlord/tenant law and/or Nevada landlord association. You need to insure the info you receive is dependable. So best you find it yourself. I would have to charge you if I did the research for you.

You can charge a fee (non-refundable) to run a credit check and/or background check.

Here is the law in Nevada.

I’m going out on a limb here and suggest that you hire a property management agency. With the lack of knowledge and experience your question indicates, you are asking for a lot of headaches and heartaches.

Find your local Apartment Association or Rental owners association. Even if you only have one rental it is worth the small anual fee.
Not only will they be able to make sure you do everything in compliance with local laws, they will have all the proper forms.
I have been in the apartment business in California for 20 years and don’t know how I could have learned so much without them. Even though they might call themselves an “Apartment Association,” the majority of Their members are small owners with less than 3 rental units.